Question

What is the length of YZ and BC?

Answer 1

Answer:

YZ = 30 and BC = 6

Step-by-step explanation:

Since ABCDE and YXWVZ are similar figures then the ratios of corresponding sides are equal, that is

$\frac{AB}{YX}$ = $\frac{AE}{YZ}$ ← 2 pairs of corresponding sides

that is

$\frac{3}{15}$ = $\frac{6}{YZ}$ ( cross- multiply )

3YZ = 90 ( divide both sides by 3 )

YZ = 30

Similarly

$\frac{AB}{YX}$ = $\frac{BC}{XW}$, that is

$\frac{3}{15}$ = $\frac{BC}{30}$ ( cross- multiply )

15BC = 90 ( divide both sides by 15 )

BC = 6