MathDB

lines AE,BD are perpendicular iff AB = AC

Source: 2013 Saudi Arabia Pre-TST 4.4

September 13, 2020

geometryperpendicularisosceles

Problem Statement

\vartriangle ABC

is a triangle,

M

the midpoint of

AB = AC

the projection of

M

on

AC

and

E

the midppoint of

MD

. Prove that the lines

AE,BD

are orthogonal if and only if

AB = AC

.

Back to Problems View on AoPS