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Tentukan panjang sisi begin mathsize 14px style x end style dan begin mathsize 14px style y end style!

 

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S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

Jawaban terverifikasi

Pembahasan

Diketahui segitiga siku-siku salah satu sudutnya adalah begin mathsize 14px style 60 degree end style. Oleh karena jumlah sudut pada sebuah segitiga begin mathsize 14px style 180 degree end style, maka besar sudut ketiga begin mathsize 14px style 180 degree minus open parentheses 60 degree plus 90 degree close parentheses equals 180 degree minus 150 degree equals 30 degree end style

Misalkan sisi miring begin mathsize 14px style y end style, maka pada segitiga ini berlaku,

begin mathsize 14px style sisi space di space depan space sudut space 30 degree space colon space sisi space di space depan space sudut space 60 degree space colon space sisi space miring equals 1 space colon space square root of 3 space colon space 2 end style  

Sehingga diperoleh,

begin mathsize 14px style fraction numerator sisi space depan space angle 30 degree over denominator sisi space miring end fraction equals 1 half space space space space space space space space space space space space space space space space space space fraction numerator 5 space cm over denominator straight y end fraction equals 1 half space space space space space space space space space space space space space space space space space space space space space space space space space space straight y equals 2 open parentheses 5 space cm close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space straight y equals 10 space cm end style   

Panjang sisi begin mathsize 14px style y end style adalah begin mathsize 14px style 10 space cm end style

begin mathsize 14px style fraction numerator sisi space depan space angle 60 degree over denominator sisi space miring end fraction equals fraction numerator square root of 3 over denominator 2 end fraction space space space space space space space space space space space space space space space space space fraction numerator straight x over denominator 10 space cm end fraction equals fraction numerator square root of 3 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space 2 straight x equals 10 square root of 3 space cm space space space space space space space space space space space space space space space space space space space space space space space space space space straight x equals fraction numerator 10 square root of 3 space cm over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space straight x equals 5 square root of 3 space cm end style 

Panjang sisi begin mathsize 14px style x end style adalah begin mathsize 14px style 5 square root of 3 space cm end style

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