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
[tex]\frac{AB}{YX}[/tex] = [tex]\frac{AE}{YZ}[/tex] ← 2 pairs of corresponding sides
that is
[tex]\frac{3}{15}[/tex] = [tex]\frac{6}{YZ}[/tex] ( cross- multiply )
3YZ = 90 ( divide both sides by 3 )
YZ = 30
Similarly
[tex]\frac{AB}{YX}[/tex] = [tex]\frac{BC}{XW}[/tex], that is
[tex]\frac{3}{15}[/tex] = [tex]\frac{BC}{30}[/tex] ( cross- multiply )
15BC = 90 ( divide both sides by 15 )
BC = 6
