In a triangle ABC, if AD is the median, then show that AB^2 +AC ^2=2(AD^2 +BD^2)

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In ∆ ABC, AD is a median. Prove that AB² + AC² = 2 AD² + 2 DC². In ∆ ABC, AD is a median. Prove that AB² + AC² = 2 AD² + 2 DC².
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In triangle ABC, if AD is the median, show that AB^2+AC^2= 2(AD^2+BD^2).By Ali Sir In triangle ABC, if AD is the median, show that AB^2+AC^2= 2(AD^2+BD^2).By Ali Sir
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18. In a ∆ABC, AD is perpendicular to BC. prove that (AB^2+CD^2)=(AC^2+BD^2) 18. In a ∆ABC, AD is perpendicular to BC. prove that (AB^2+CD^2)=(AC^2+BD^2)