Question
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
I
J
K
L
M
N
9
5
40
Answers
Answered by
GPT 3.5
To find the measure of side LM, we can set up a proportion based on the similarity of the triangles.
IJK is similar to LMN, so the corresponding sides are in proportion.
IJ/LM = JK/MN
Substitute the given values:
9/LM = 5/40
Cross multiply:
5 * LM = 9 * 40
5LM = 360
LM = 360/5
LM = 72
Therefore, the measure of side LM is 72.
IJK is similar to LMN, so the corresponding sides are in proportion.
IJ/LM = JK/MN
Substitute the given values:
9/LM = 5/40
Cross multiply:
5 * LM = 9 * 40
5LM = 360
LM = 360/5
LM = 72
Therefore, the measure of side LM is 72.
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