Question

what is midpoint theorem
explain in own words

Answer 1

The midpoint theorem says that the line connecting the midpoints of two sides of a triangle is parallel to the third side and equal to the half of the third side.

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Answer 2

your answer
There is one of the basic theorems in geometry which explains about an important property of triangle. This theorem is known as midpoint theorem.
The midpoint theorem states that:

"In a triangle, the line segment that joins the midpoints of the two sides of a triangle is parallel to the third side and is half of it."Explanation:
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:

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 $\parallel$ BC

DE = $\frac{1}{2}$ BC.