if in a triangle ABC, Ad is a median and AM perpendicular to BC, then prove that AB square +AC square =2(AD square +BD square)
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Answered by
11
according to the pic
using Pythagoras theorem
AB²=AM²+BM²
also
AC²=AM²+MC²
joining both the eqn
AB²+AC²=2(AM²)+BM²+CM²
since BM+MC=BC
AB²+AC²=2(AM)+BC²
AB²+AC²=2(AM+ BD²). {BC=2BD}
hope it helps
mark the BRAINLIEST plzz
using Pythagoras theorem
AB²=AM²+BM²
also
AC²=AM²+MC²
joining both the eqn
AB²+AC²=2(AM²)+BM²+CM²
since BM+MC=BC
AB²+AC²=2(AM)+BC²
AB²+AC²=2(AM+ BD²). {BC=2BD}
hope it helps
mark the BRAINLIEST plzz
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jai241:
thanks
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2
plz refer to this attachment
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