Question

Triangle DEF is similar to triangle GHI. Find the measure of side IG. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
D
E
F
G
H
I
5
9
23
Answer
Attempt 2 out of 2

Answer 1

To find the measure of side IG, we first need to set up a proportion using the corresponding sides of the two similar triangles.

We know:
DE/GH = EF/HI

Substitute the given values:
5/9 = 23/x

Cross multiply:
5x = 9 * 23
5x = 207

Divide by 5:
x = 207 / 5
x = 41.4

Therefore, the measure of side IG is 41.4.