Triangle IJK is similar to triangle LMN. Find the measure of side LM. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
I
J
K
L
M
N
28
43
5
Answer
Attempt 1 out of 2
To find the measure of side LM, we need to set up a proportion between corresponding sides of the similar triangles.
Given:
JK = 5
MN = 43
IJ = 28
LM = x (the side we want to find)
Using the proportion of corresponding sides:
IJ/JK = LM/MN
Substitute the given values:
28/5 = x/43
Cross multiply:
5x = 28 * 43
5x = 1204
x = 1204/5
x = 240.8
Therefore, the measure of side LM is approximately 240.8.
that is NOT correct'
Apologies for the mistake. Let's correct it:
To find the measure of side LM, we need to set up a proportion between corresponding sides of the similar triangles.
Given:
IJ = 28
JK = 5
LM = x
MN = 43
Using the proportion of corresponding sides:
LM/IJ = MN/JK
Substitute the given values:
x/28 = 43/5
Cross multiply:
5x = 28 * 43
5x = 1204
x = 1204/5
x = 240.8
Therefore, the measure of side LM is approximately 240.8.