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 for similar triangles

For similar triangles, the ratios of corresponding sides are equal. So we have $\frac{10}{x}=\frac{15}{18}$.

Step2: Cross - multiply

Cross - multiplying gives us $15x = 10\times18$.

Step3: Calculate the right - hand side

$10\times18=180$, so the equation becomes $15x = 180$.

Step4: Solve for x

Dividing both sides by 15, we get $x=\frac{180}{15}=12$.

Answer:

$12$