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Perhatikan gambar segitiga siku-siku ABC di bawah....

Perhatikan gambar segitiga siku-siku ABC di bawah. Tentukan:

a. keliling segitiga ABC.

Jawaban:

Sisi-sisi segitiga dapat dicari menggunakan perbandingan sisi dengan sudut khusus size 14px 60 size 14px degree size 14px space size 14px dan size 14px space size 14px 30 size 14px degree.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell AD space colon space DC space colon space AC end cell equals cell 1 space colon space square root of 3 space colon space 2 end cell row blank blank blank row cell AC over AD end cell equals cell 2 over 1 end cell row cell AC over 8 end cell equals 2 row AC equals 16 row blank blank blank row cell DC over AD end cell equals cell fraction numerator square root of 3 over denominator 1 end fraction end cell row cell DC over 8 end cell equals cell square root of 3 end cell row DC equals cell 8 square root of 3 end cell row blank blank blank row cell DC space colon space DB space colon space BC end cell equals cell 1 space colon space square root of 3 space colon space 2 end cell row cell BC over DC end cell equals cell 2 over 1 end cell row cell fraction numerator BC over denominator 8 square root of 3 end fraction end cell equals 2 row BC equals cell 16 square root of 3 end cell row blank blank blank row cell DB over DC end cell equals cell fraction numerator square root of 3 over denominator 1 end fraction end cell row cell fraction numerator DB over denominator 8 square root of 3 end fraction end cell equals cell square root of 3 end cell row DB equals 24 row blank blank blank row Keliling equals cell AD plus DB plus AC plus BC end cell row blank equals cell 8 plus 24 plus 16 plus 16 square root of 3 end cell row blank equals cell 48 plus 16 square root of 3 space cm end cell end table end style

Jadi, keliling segitiga ABC adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 48 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 16 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table end style.

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