Question

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

Explanation:

Step1: Set up proportion

For similar - shaped triangles, the ratios of corresponding sides are equal. Let the ratio of the side of length 3 yards in the small triangle to the side of length 3 yards in the large triangle be equal to the ratio of the side of length $p$ in the small triangle to the side of length 9 yards in the large triangle. So, $\frac{3}{3}=\frac{p}{9}$.

Step2: Solve the proportion

Since $\frac{3}{3} = 1$, the equation becomes $1=\frac{p}{9}$. Multiply both sides of the equation by 9 to solve for $p$. So, $p=9\times1$.

Answer:

9