Question

the figures are similar. find the length of the missing side indicated with an x... a x = 10 b x = 14 c x = 7 d x = 21

Explanation:

Step1: Set up proportion

Since the two right - angled triangles are similar, the ratios of their corresponding sides are equal. We can set up the proportion $\frac{x}{7}=\frac{50}{25}$.

Step2: Solve the proportion

Cross - multiply to get $25x = 7\times50$. Then $25x=350$. Divide both sides by 25: $x=\frac{350}{25}=14$.

Answer:

B. $x = 14$