Question

1. the triangles below are similar. what is the value of x?

(image of two similar triangles: first triangle has sides 15 yd and 12 yd, second triangle has sides x yd and 8 yd)
answer

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{15}{12} = \frac{x}{8}$.

Step2: Solve for x

Cross - multiply: $12x = 15\times8$.
Calculate $15\times8 = 120$, so $12x = 120$.
Divide both sides by 12: $x=\frac{120}{12}=10$.

Answer:

10