Question

angle if triangle ABC if ad is the median then show that AB square + AC square is equal to twice of A D square + BD square

Answer 1

Step-by-step explanation:

In an ∆ ABC , AD is the median

Therefore, from the APOLLONIUS theorem ,

AB^2 + AC^2 = 2AD^2 + 2BD^2

AB^2 + AC^2 = 2(AD^2 + BD^2)