Question

if these two shapes are similar, what is the measure of the missing length k? 6 in 2 in 1 in k k = inches

Explanation:

Step1: Set up proportion

For similar shapes, the ratios of corresponding sides are equal. Let the ratio of the sides of the two triangles be $\frac{6}{2}=\frac{k}{1}$.

Step2: Solve for k

Cross - multiply the proportion: $6\times1 = 2\times k$. Then $k=\frac{6\times1}{2}$.

Answer:

3