MathDB

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

Source:

July 4, 2019

right isoscelesequal segments

Problem Statement

Given points

D

and

E

on the legs

[CA]

and

[CB]

, respectively, of the isosceles right triangle.

|CD| = |CE|

. The extensions of the perpendiculars from

D

and

C

to the line

AE

cross the hypotenuse

AB

in the points

K

and

L

. Prove that

|KL| = |LB|