SOLUTION: Prove that the triangle formed by joining the midpoints of the sides of an isosceles triangle is also isosceles.

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Question 1028693: Prove that the triangle formed by joining the midpoints of the sides of an isosceles triangle is also isosceles.
Answer by mananth(16946) About Me  (Show Source):
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AB = AC
3=4
DE || BC
By corresponding angles theorem
So 1=3
and 2=4
But 3=4
Therefore 1=2
In triangle ADE angle 1=angle 2
Therefore Ad=AE
Hence ADE is isosceles triangle