Question

EXPLAIN MID POINT THEROME

Answer 1

the line segment formed by mid points of two sides is parallel to the third side and the segment formed by the mid points of those two sides is half of the third side..

hope it helps..❤️

Answer 2

Mid point theorem states that :

A line segment joining the midpoints of nay two sides of a triangle is parallel to the third side and is equal of half of it.


So lets consider a Δ ABC.

AB , AC and BC are the three sides of the triangle.

So , according to the theorem :

Consider D to be the midpoint of the side AB. This means that the point D on AB divides AB into two equal parts ( BD and AD)

Similarly , E is the midpoint of AC.This means that the point E on AC divides AC into two equal parts ( AE and CE )

So , when D and E are joined , a line segment DE is formed.
This line segment DE is parallel to the third side that is , BC.

DE || BC.

Also , the line segment DE = $\frac{1}{2} BC$


So ,
when the midpoints of any two sides of a triangle are joined , the line segment which joins the midpoints is parallel to the 3 rd side of the triangle and is also equal to half of it.

So , hope the midpoint theorem is understood by you.

If u have any doubts , fell free to ask !!