Question

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

Explanation:

Step1: Set up proportion

For similar - shaped triangles, the ratios of corresponding sides are equal. Let the ratio of the sides of the two similar triangles be $\frac{u}{27}=\frac{24}{81}$.

Step2: Cross - multiply

Cross - multiplying gives us $81u = 27\times24$.

Step3: Calculate the right - hand side

$27\times24 = 648$. So, $81u=648$.

Step4: Solve for u

Divide both sides of the equation $81u = 648$ by 81: $u=\frac{648}{81}=8$.

Answer:

8