In triangle ABC, AD is a median Prove that AB2 + AC2 = 2(AD2 + BD2) - Maths - Triangles

Question

In triangle ABC, AD is a median Prove that AB2 +
AC2 = 2(AD2 + BD2 )

Lalit Mehra · Accepted Answer

Hi! Here is the answer to your question

Given: AD is median So BD = DC Construction: Draw AE⊥ BC To prove: AB2 + AC2 = 2 (AD2 + BD2) Proof: In âˆ†AED,

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In triangle ABC, AD is a median . Prove that AB2 + AC2 = 2(AD2 + BD2 )