Question

there are two similar triangles in the diagram. find the unknown measurement. x =

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of corresponding sides are equal. So, $\frac{120}{120 + 360}=\frac{40}{x}$.

Step2: Simplify left - hand side

$\frac{120}{480}=\frac{1}{4}$, so the equation becomes $\frac{1}{4}=\frac{40}{x}$.

Step3: Cross - multiply

$x=40\times4$.

Step4: Calculate

$x = 160$.

Answer:

160