Solve for x

Question

Triangle 1 has side lengths 38, 32, and x
Triangle 2 has side lengths 24, 32, and 12
(Answer Choice: Choose 1)
6
19
12
5

Answer 1

19

First, we need to determine which sides in the two triangles are corresponding. In the given triangles, the side lengths 32 are corresponding.

Set up the proportion:

38/24 = x/12

Cross multiply:

24x = 38 * 12
24x = 456

Divide by 24:

x = 19

Therefore, x = 19.