Question

ABDE and ACFG are two squares on the two sides of triangle ABC, AB and AC respectively. Prove that Ec is perpendicular to BG using ONLY ALGEBRA

Answer 1

@ganeshie8

Answer 2

@perl

Answer 3

@TuringTest

Answer 4

sorry, too tedious for me right now
perhaps tomorrow

Answer 5

ok

Answer 6

@mathmath333

Answer 7

well this works very easily if \(\angle BAC=90^{\circ}\)

Answer 8

but seems difficult to me without using \(\angle BAC=90\)

Answer 9

@freckles

Answer 10

@hartnn

Answer 11

eh .. doesn't seem easy at first glance..