Question

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In AIJK, IJ || LM. Given that KI = 18, KL=8, and LM = 20, find IJ.
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IJ =

Answer 1

the length of IJ is 7.2 units.

Explanation:

Since IJ is parallel to LM, we can use the property of similar triangles to solve for IJ.

Triangles KIJ and KLM are similar, so we have:

IJ/KL = KI/LM

Substituting the given values, we get:

IJ/8 = 18/20

IJ/8 = 9/10

Multiplying both sides by 8, we get:

IJ = (8)(9/10)

IJ = 7.2

Therefore, the length of IJ is 7.2 units.