Question

In triangle ABC, P,Q,R are the midpoints of the sides AB, BC, and CA respectively. Show that triangle ABC is divided itnto four congruent triangles.​

Answer 1

Answer:

Step-by-step explanation:

Hope it helps

Answer 2

HERE IS YOUR ANSWER :-

As D and E are mid-points of sides AB and BC of the triangle ABC, by Theorem 1,

DE || AC

Similarly, DF || BC and EF || AB

Therefore ADEF, BDFE and DFCE are all parallelograms.

Now DE is a diagonal of the parallelogram BDFE,

 therefore, ∆ BDE ≅ ∆ FED

Similarly ∆ DAF ≅ ∆ FED

and ∆ EFC ≅ ∆ FED

So, all the four triangles are congruent.

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