HELP! ΔDEF and ΔXYZ are similar isosceles triangles. What is the length of YZ?
6 cm
9 cm
10 cm
12 cm

Answer:
9 cm
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{YZ}{EF}=\frac{XY}{DE}[/tex]
substitute the given values
[tex]\frac{YZ}{6}=\frac{15}{10}[/tex]
solve for YZ
[tex]YZ=6(15)/10\\YZ=9\ cm[/tex]