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Perhatikan gambar berikut! Diketahui panjang , ...

Perhatikan gambar berikut!

Diketahui panjang begin mathsize 14px style DA equals 25 space cm end stylebegin mathsize 14px style DE equals 20 space cm end style, dan begin mathsize 14px style CA equals 35 space cm end style.

a. Hitunglah panjang BC!

Jawaban:

Perhatikan bahwa segitiga BEC dan AED sebangun, sehingga berlaku:

table attributes columnalign right center left columnspacing 0px end attributes row cell BC over DA end cell equals cell CE over DE end cell row cell BC over DA end cell equals cell fraction numerator CA minus AE over denominator DE end fraction end cell row cell BC over DA end cell equals cell fraction numerator CA minus DE over denominator DE end fraction end cell row cell BC over 25 end cell equals cell fraction numerator 35 minus 20 over denominator 20 end fraction end cell row cell BC over 25 end cell equals cell up diagonal strike 15 to the power of space 3 end exponent over up diagonal strike 20 to the power of space 4 end exponent end cell row cell BC over 25 end cell equals cell 3 over 4 end cell row cell up diagonal strike 25 to the power of 1 times BC over up diagonal strike 25 to the power of 1 end cell equals cell 3 over 4 times 25 end cell row BC equals cell 75 over 4 end cell row blank equals cell 18 comma 75 space cm end cell end table 

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