Question

the figures below are similar. use proportions to find the length of m.
two similar triangles, the smaller one has base 4 and hypotenuse m, the larger one has base 10 and hypotenuse 15
m = ?

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{m}{15} = \frac{4}{10}$.

Step2: Solve for m

Cross - multiply: $10m = 4\times15$.
Calculate $4\times15 = 60$, so $10m = 60$.
Divide both sides by 10: $m=\frac{60}{10}=6$.

Answer:

6