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In figure, AD is a median of a triangle...

In figure, AD is a median of a triangle ABC and `A M_|_B C`. Prove that:
(i) `A C^2=A D^2+B C.D M+``((B C)/2)^2`
(ii) `A B^2=A D^2-B CdotD M+``((B C)/2)^2`
(iii) `A C^2+A B^2=2A D^2+``1/2B C^2`

Text Solution

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Given:
In `∆ABC, AD `is a median, `AM ⊥ BC.`
To Prove
...
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