MathDB
Congruence

Source: Tuymaada 2017 Junior Level

July 18, 2017
geometry

Problem Statement

BLBL is the bisector of an isosceles triangle ABCABC . A point DD is chosen on the Base BCBC and a point EE is chosen on the lateral side ABAB so that AE=12AL=CDAE=\frac {1}{2}AL=CD . Prove that LE=LDLE=LD .
Tuymaada 2017 Q5 Juniors