**ABCD is an equilateral triangle. AD and BE are the medians on the side BC and CA respectively. Show that AD=BE.**

###### Answers:

AC = BC {Sides of an Equilateral Triangle}

E and D is the mid point of AC and BC

{ BE and AD are median }

So, CE = EA = CD = BD

Now, In Triangle ABE and Triangle ABD

AC = BD (Mention Above)

/_A= /_B (60°)

AB = AB (Common)

So, Triangle ABE congurent to Triangle ABD.

( by S.A.S criteria)

Therefore,BE = AD ( by CPCT )