explain converse of The midpoint theorem.
fuhadedvash:
if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”.
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The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”.
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Step-by-step explanation:
If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.
Consider the triangle ABC, as shown in the above figure,
Let E and D be the midpoints of the sides AC and AB. Then the line DE is said to be parallel to the side BC, whereas the side DE is half of the side BC; i.e.
DE∥BC
DE = (1/2 * BC).
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