<blockquote> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Apa itu segitiga sembarang? kalian sudah tau, <strong><em>Segitiga Sembarang </em></strong>yaitu sebuah bangun datar yang dilihat dari panjang sisi – sisinya sehingga dapat dibilang masih kerabat dekat dengan segitiga sama sisi dan sama kaki tetapi sifatnya berbeda.</span></span></span></p> </blockquote> <h3 style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><span class='marker'><strong>Jenis Jenis Segitiga Sembarang</strong></span></span></span></span></h3> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Banyak jenis segitiga sembarang, tetapi segitiga sembarang dibagi menjadi 3 yang utama yaitu :</span></span></span></p> <ul> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Pertama, Segitiga sembarang memiliki 3 buah sisi yang tidak sama panjang.</span></span></span></li> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Kedua, Segitiga sembarang tidak memiliki simetri lipat tetapi memiliki 1 buah simetri putar.</span></span></span></li> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Ketiga, Segitiga sembarang memiliki 3 sudut, ketiga sudutnya mempunyai besar yang berbeda.</span></span></span></li> </ul> <h2 style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><span class='marker'><strong>Rumus Luas Segitiga Sembarang</strong></span></span></span></span></h2> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Luas SEGITIGA SEMBARANG :</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>L = √(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Keliling SEGITIGA SEMBARANG :</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>K = (a+b+c)/2</em></strong></span></span></span></p> <h2 style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><span class='marker'><strong>Contoh Soal Segitiga Sembarang</strong></span></span></span></span></h2> <ol> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah= 10 cm, panjang sisi a=6 cm, b= 4 cm, c= 8 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></li> </ol> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s= 10 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a= 5 cm, b=7 cm c=8 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas =…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em> √(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(10(10-5)(10-7)(10-8)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √10.5.3.2</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √300</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong>10√3 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi, </strong>luas segitiga sembarang tersebut adalah =<strong>10√3 cm2</strong></span></span></span></p> <ol start='2'> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah= 10 cm, panjang sisi a=5 cm, b= 3 cm, c= 8 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></li> </ol> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s= 10 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a= 5 cm, b=3 cm c=8 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas =…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em>√(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(10(10-5)(10-3)(10-8)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √10.5.7.2</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √700</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong>10√7 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi, </strong>luas segitiga sembarang tersebut adalah <strong>= 10√7 cm2</strong></span></span></span></p> <ol start='3'> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah= 20 cm, panjang sisi a=18 cm, b= 15 cm, c= 16 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></li> </ol> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s= 20 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a= 18 cm, b=15 cm c=16 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas =…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em>√(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(20(20-18)(20-15)(20-16)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √20.2.5.4</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √800</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong> 20√2 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi, </strong>luas segitiga sembarang tersebut adalah <strong>= 20√2 cm2</strong></span></span></span></p> <ol start='4'> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah=20 cm, panjang sisi a= 15 cm, b=12 cm, c=18 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></li> </ol> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s= 20 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a= 15 cm, b=12 cm c=18 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas =…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em>√(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(20(20-15)(20-12)(20-18)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √20.5.8.2</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √1600</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong>20√4 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi, </strong>luas segitiga sembarang tersebut adalah <strong>= 20√4 cm2 </strong></span></span></span></p> <ol start='5'> <li style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah= 30 cm, panjang sisi a=24 cm, b=25 cm, c=23 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></li> </ol> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s=30 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a=24 cm, b=25 cm, c=23 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas=…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em>√(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(30(30-24)(30-25)(30-23)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √30.6.5.7</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √6300</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong>30√7 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi,</strong>luas segitiga sembarang tersebut adalah<strong>= 30√7 cm2 </strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>6. Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah= 20 cm, panjang sisi a=15 cm, b=19 cm, c=13 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s=20 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a=15 cm, b=19 cm, c=13 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas=…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em>√(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(20(20-15)(20-19)(20-13)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √20.5.1.7</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √700</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong>20√7 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi,</strong>luas segitiga sembarang tersebut adalah<strong>= 20√7 cm2 </strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>7. Ada Sebuah segitiga sembarang yang memiliki nilai semiperimeternya adalah= 40 cm, panjang sisi a=36 cm, b=35 cm, c=32 cm. cari dan hitunglah luas segitiga sembarang tersebut !</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong><em>Penyelesaian :</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Diketahui :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>s=40 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>a=36 cm, b=35 cm, c=32 cm</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Ditanya : </strong>luas=…?</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jawab :</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong><em>√(s(s-a)(s-b)(s-c)</em></strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √(40(40-36)(40-35)(40-32)</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √40.4.5.8</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= √6400</span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>L= <strong>40√4 cm2</strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'><strong>Jadi,</strong>luas segitiga sembarang tersebut adalah<strong>= 40√4 cm2 </strong></span></span></span></p> <p style='text-align:justify'><span style='font-family:Arial,Helvetica,sans-serif'><span style='font-size:14px'><span style='color:#000000'>Demikianlah pembahasan materi matematika tentang rumus luas dan keliling segitiga sembarang beserta cotoh soal dan pembahasannya, semoga bermanfaat</span></span></span></p>
