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Question

State the midpoint theorem.

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Solution

if the midpoints of any sides of a triangle are joined by a line segment, then this line segment will be parallel to the remaining side and will measure half of the remaining side.

Let us consider ABC is a triangle as shown in the following figure:
Mid Point Theorem

Let D and E be the midpoints of AB and AC. Then line DE is parallel to BC and DE is half of BC; i.e.

DE parallel to BC

DE = 1 halfBC.

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