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Introduction to the triangle midsegment theorem‼️Can someone help me with this problem ❓

Introduction to the triangle midsegment theorem‼️Can someone help me with this problem-example-1

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Answer:

see explanation

Explanation:

Given a line joining the midpoints of 2 sides of a triangle, the midsegment

Then the midsegment is parallel to and half the measure of the third side of the triangle, thus

XY = 2KL = 2 × 42 = 84

Since J is the midpoint of XY, then

JY = 0.5XY = 0.5 × 84 = 42 and

JK = 0.5YZ = 0.5 × 76 = 38

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