Question

in figure AC=BD Show that AB=CD​

Answer 1

Given, AC = BD.

AC = AB + BC _____ eq.(i)

BD = BC + CD _____ eq.(ii)

From eq.(i) and eq.(ii), we get

AC = BD

or, AB + BC = BC + CD

By cancelling the common term, we get

AB = CD

Hence, proved.

Answer 2

given

AC=BD--------1

substract BC on both sides

AC-BC=BD-BC

from figure we can get

AB=CD