SOLUTION: If D , E and F are the midpoints of sides AB , BC , and CA respectively of an isosceles triangle ABC , prove that triangle DEF is also isosceles triangle.

SOLUTION: If D , E and F are the midpoints of sides AB , BC , and CA respectively of an isosceles triangle ABC , prove that triangle DEF is also isosceles triangle.

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Question 490854: If D , E and F are the midpoints of sides AB , BC , and CA respectively of an isosceles triangle ABC , prove that triangle DEF is also isosceles triangle.
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Look at triangles, ADF and FEC
AD = EC
AF = FC
angle A = angle C
--> By SAS, triangles ADF and FEC are congruent,therefore DF = FE making triangle DEF an isosceles triangle

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