MathDB

198

Part of 1974 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 198 All Soviet Union MO 1974 equal segments, right isosceles

Source:

7/4/2019
Given points DD and EE on the legs [CA][CA] and [CB][CB], respectively, of the isosceles right triangle. ∣CD∣=∣CE∣|CD| = |CE|. The extensions of the perpendiculars from DD and CC to the line AEAE cross the hypotenuse ABAB in the points KK and LL. Prove that ∣KL∣=∣LB∣|KL| = |LB|
right isoscelesequal segments