Question

in triangle ABC,D,E,F are respectively the mid points of sides AB,BC,and CA .Show that triangle ABC is divided into four congruent triangle by joinning D,E and F​

Answer 1

Step-by-step explanation:

As D and E are the mid point side AB and BC and of the triangle ABC theorem 8.9

dE parallel AC

similarly, DE//BC and EF parallel AB

therefore ADEF, BDFE and DFCE all parallelogram

Now, DE is a diagonal of a parallelogram BDFE

therefore triangle BDE congruent triangle FDE

similarly, triangles DAF congruent triangle FED

triangle EFC congruent triangle FED

So, all of the four Triangles are congruent

Answer 2

Answer:

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