Question

if these two shapes are similar, what is the measure of the missing length v? v = centimeters

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of their corresponding sides are equal. So, \(\frac{v}{40}=\frac{42}{30}\).

Step2: Solve for \(v\)

Cross - multiply: \(30v = 42\times40\). Then \(30v=1680\). Divide both sides by 30: \(v=\frac{1680}{30}\).

Answer:

\(v = 56\) centimeters