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Perhatikan gambar segitiga siku-siku di bawah. Tentukan: b. luas segitiga

Perhatikan gambar segitiga siku-siku begin mathsize 14px style text ABC end text end style di bawah.

Tentukan:

b. luas segitiga begin mathsize 14px style text ABC end text end style 

  1. begin mathsize 14px style.... end style 

  2. undefined 

Jawaban:

Lihat begin mathsize 14px style triangle A C D comma space m angle A equals 60 degree end style, maka 

undefined undefined begin mathsize 14px style 90 degree end style
begin mathsize 14px style x end style begin mathsize 14px style x square root of 3 end style begin mathsize 14px style 2 x end style
begin mathsize 14px style 8 end style begin mathsize 14px style 8 square root of 3 end style  begin mathsize 14px style 16 end style 

 Jadi panjang 

begin mathsize 14px style C D equals 8 square root of 3 A C equals 16 end style

lihat begin mathsize 14px style triangle B C D comma space m angle B equals 30 degree comma space m angle C equals 60 degree space d a n space m angle D equals 90 degree end style 

undefined undefined begin mathsize 14px style 90 degree end style
begin mathsize 14px style x end style begin mathsize 14px style x square root of 3 end style begin mathsize 14px style 2 x end style
undefined begin mathsize 14px style 24 end style begin mathsize 14px style 16 square root of 3 end style

Jadi panjang 

begin mathsize 14px style B D equals 24 B C equals 16 square root of 3 end style 

Maka kita dapat menghitung luas undefined dengan cara berikut

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell l u a s space increment A B C end cell equals cell fraction numerator a times t over denominator 2 end fraction end cell row blank equals cell fraction numerator left parenthesis 8 plus 24 right parenthesis times 8 square root of 3 over denominator 2 end fraction end cell row blank equals cell 128 square root of 3 end cell end table end style 

Jadi, luas undefined adalah begin mathsize 14px style 128 square root of 3 space cm squared end style.

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