High School

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In the diagram below of triangle IJK, L is the midpoint of IK and M is the

midpoint of JK.If LM = 4x+8, and IJ = 5x + 22, what is the measure of

LM?

In the diagram below of triangle IJK L is the midpoint of IK and M is the midpoint of JK If LM 4x 8 and

Answer :

LM = 32

LM = 4x + 8 and IJ = 5x +22 in the triangle LM = 2*(IJ)

4x + 8 = 2*(5x + 22)

4x + 8 = 10x + 44

6x + 36

x = |-6| = 6

LM = 4x + 8 = 32 units

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