Triangle IJK is similar to triangle LMN. Find the measure of side LM. Round your answer to the nearest tenth if necessary.
I
J
K
L
M
N
9
5
40
Answer
Attempt 2 out of 2
To find the measure of side LM, we can set up a proportion using the corresponding sides of the similar triangles:
LK/IJ = MN/KJ
Substitute the given values:
40/9 = LM/5
Cross multiply:
40 * 5 = 9 * LM
200 = 9 * LM
Divide by 9:
LM = 200/9
LM ≈ 22.2
Therefore, the measure of side LM is approximately 22.2.