Question

In the sketch below, AABC is similar to AXYZ. Find the length of side b.

Answer 1

Given

triangle ABC is similar to triangle XYZ

Find

length of side b

Explanation

Since both triangles are similar. So ratio of there sides will be equal

$\begin{gathered} \frac{AB}{XY}=\frac{AC}{XZ} \\ \\ \frac{15}{10}=\frac{b}{8} \\ \\ b=\frac{3}{2}\times8=3\times4=12 \end{gathered}$

Final Answer

Length of side b is 12