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prove that the straight line joining the midpoints of the diagnol of a trapezium is parallel to the parallel sides and is equal to half their distance.

prove that the straight line joining the midpoints of the diagnol of a trapezium is parallel to the parallel sides and is equal to half their distance.

Grade:10

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Hello Student
If you consider two triangles which are formed by the diagonal of the trapezium.
In both the triangle base will be parallel to mid point of sides and both sides are also parallel
hence all three are paralllel
hence we can say that

Thanks,

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