Q15 of 24 Page 157

In the triangle ABC, the midpoints of BC, CA and AB are D, E and F respectively; BE and DF intersect at the point X and CF and DE intersect at the point Y, the length of XY is equal to

By using the theorem,


The line segment joining the midpoints of two side of a triangle is parallel to the third side and equal to half of it, we get


⇒ X and Y are them id points of DF and DE respectively.


In ΔABC, by using above theorem,



Similarly applying it in ΔDFE,



From above two equations, we get

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