Let ABC be an isosceles triangle in which AB=AC. If D,E,F be the midpoints of the sides BC,CA, and AB respectively, show that the segment AD and EF bisect each other at right angles.

Let ABC be an isosceles triangle in which AB=AC. If D,E,F be the midpo

1.	Let ABC be an isosceles triangle in which AB=AC. If D,E,F be the midpoints of the sides BC,CA, and AB respectively, show that the segment AD and EF bisect each other at right angles.
Answer» Let $A B C$ be an isosceles triangle in which $A B = A C .$ If $D, E, F$ be the midpoints of the sides $B C, C A,$ and $A B$ respectively, show that the segment $A D$ and $E F$ bisect each other at right angles.