SOLUTION: In a right triangle ABC, CD is the angle bisector of the right angle C. Two lines DF and DE are parallel to the legs of the triangle. Prove that DFCE is a square.

SOLUTION: In a right triangle ABC, CD is the angle bisector of the right angle C. Two lines DF and DE are parallel to the legs of the triangle. Prove that DFCE is a square.

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Question 1114227: In a right triangle ABC, CD is the angle bisector of the right angle C. Two lines
DF and DE are parallel to the legs of the triangle. Prove that DFCE is a square.
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!
.
You have rectangle DFCE with the diagonal which makes the angle of 45 degrees with the side.

It is enough to conclude that DFCE is a square.

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