SOLUTION: Draw the diagram. Set up the proof end and then prove. "The median to the base of an isosceles triangle divides the triangle into 2 congruent triangles."

Question 23422: Draw the diagram. Set up the proof end and then prove.
"The median to the base of an isosceles triangle divides the triangle into 2 congruent triangles."
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!

LET THE TRIANGLE BE ABC WITH VERTEX AT A AND AB=AC.LET AD be THE MEDIAN...IN TRIANGLES ABD AND ACD ,WE HAVE
AB=AC....GIVEN
AD=AD
BD=DC.....(AD IS MEDIAN)
HENCE THE 2 TRIANGLES ARE IDENTICAL OR CONGRUENT.

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