Question

given that the following pair of triangles are similar, find the missing length. x = (type an integer or decimal.)

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So we have $\frac{x}{12}=\frac{10}{8}$.

Step2: Cross - multiply

Cross - multiplying gives us $8x = 12\times10$.

Step3: Calculate right - hand side

$12\times10 = 120$, so $8x=120$.

Step4: Solve for x

Dividing both sides by 8, we get $x=\frac{120}{8}=15$.

Answer:

15