Question

the figures below are similar. use proportions to find the length of m.
6
3
10
m
m = ?

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{6}{10}=\frac{3}{m}$.

Step2: Cross - multiply

Cross - multiplying gives $6\times m = 10\times3$.

Step3: Solve for m

Simplify the right - hand side: $6m = 30$. Then divide both sides by 6: $m=\frac{30}{6}=5$.

Answer:

5