Question

find the unknown side length labeled with a variable in the given pair of similar triangles. x = (simplify your answer.)

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So we have $\frac{6}{x}=\frac{9}{15}$.

Step2: Cross - multiply

Cross - multiplying gives $9x = 6\times15$.

Step3: Calculate the right - hand side

$6\times15=90$, so $9x = 90$.

Step4: Solve for x

Dividing both sides by 9, we get $x=\frac{90}{9}=10$.

Answer:

$10$