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Perhatikan gambar berikut!   Tentukan panjang AE...

Perhatikan gambar berikut!

 

Tentukan panjang AE dan BE!

Jawaban:

Perhatikan segitiga ABE dan segitiga DCE Sebangun, sebab:

begin mathsize 14px style angle A B E equals angle D C E space left parenthesis d i k e t a h u i right parenthesis angle A E B equals angle D E C space left parenthesis b e r t o l a k space b e l a k a n g right parenthesis angle B A E equals angle C D E end style

Akibatnya:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator A B over denominator D C end fraction end cell equals cell fraction numerator B E over denominator C E end fraction equals fraction numerator A E over denominator D E end fraction end cell row blank blank blank row cell fraction numerator A B over denominator D C end fraction end cell equals cell fraction numerator A E over denominator D E end fraction end cell row cell 15 over 10 end cell equals cell fraction numerator A E over denominator 8 end fraction end cell row cell A E end cell equals cell fraction numerator 15 cross times 8 over denominator 10 end fraction end cell row blank equals 12 row blank blank blank row cell fraction numerator A B over denominator D C end fraction end cell equals cell fraction numerator B E over denominator C E end fraction end cell row cell 15 over 10 end cell equals cell fraction numerator B E over denominator 6 end fraction end cell row cell B E end cell equals cell fraction numerator 15 cross times 6 over denominator 10 end fraction end cell row blank equals cell 9 space c m end cell row blank blank blank end table end style

Jadi, panjang AE adalah 12 cm dan panjang BE adalah 9 cm.

 

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