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
29
14
14
Answer
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To find the measure of side LM, we can set up a proportion using the corresponding sides of the similar triangles.
In triangle IJK, side IJ corresponds to side LM.
In triangle LMN, side MN corresponds to side IJ.
Setting up the proportion:
IJ/LM = MN/LN
Substitute the given values:
29/LM = 14/14
Simplify:
29/LM = 1
Cross multiply:
29 = LM
Therefore, the measure of side LM is 29 units.