Question

two similar triangles are shown below. fill in the missing side length for triangle a.
triangle a has sides 18, 30, and a missing side (with a box). triangle b has sides 6, 10, 9.

Explanation:

Step1: Find the scale factor

Since the triangles are similar, the ratio of corresponding sides is equal. Let's take the sides 18 (from Triangle A) and 6 (from Triangle B). The scale factor \( k \) is \( \frac{18}{6} = 3 \).

Step2: Calculate the missing side

The corresponding side in Triangle B is 9. So, the missing side in Triangle A is \( 9 \times 3 = 27 \).

Answer:

27