Question

The line seg joining the mid-points of two sides of a triangle is parallelogram to the third side R half of it.​

Answer 1

Answer:

If a pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is parallelogram (previous theorem). ... Conclusion: If the midpoints of any two sides of a triangle are joined by a segment, then that segment is parallel to the third side and half its length.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Construction :

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 = (1/2 * BC). Construction- Extend the line segment DE and produce it to F such that, EF = DE.

If a pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is parallelogram (previous theorem). ... Conclusion: If the midpoints of any two sides of a triangle are joined by a segment, then that segment is parallel to the third side and half its length.