Question

the triangles are similar. what is the value of x? enter your answer in the box. x = □

Explanation:

Step1: Use similarity - ratio

Since the triangles are similar, the ratios of corresponding sides are equal. The ratio of the hypotenuses is $\frac{20}{5}=4$, and the ratio of the vertical sides is $\frac{12}{3} = 4$. The ratio of the horizontal sides should also be 4.

Step2: Calculate x

We know that $\frac{x}{4}=4$. Solving for x gives $x = 4\times4=16$.

Answer:

16