May you please give me the answers?

Given:

In triangle XYZ, J, K and L are midpoints of the sides.

JK = 38, XZ = 96, YX = 56.

To find:

KL, YZ and LZ.

Solution:

We have, J, K and L are midpoints of the sides of triangle XYZ.

JK = 38, XZ = 96, YX = 56.

Midsegment theorem: If a line segment between the midpoints of two sides of the triangle, then the length of the segment is half of the third side.

Using midsegment theorem, we get

And,

L is the midpoint of the side YZ. So,

Therefore, the measures of KL, YZ and LZ are 28, 76 and 38 respectively.

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