Prove that ac2 =ab2 + bc2+2bcxbd, Mathematics

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If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC2 =AB2 + BC2+2BCxBD

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Ans:    AC2 = AD2 + CD2

= AD2 + (BC + BD)2

= AD2 + BC2 + 2BC.BD+BD2

= AB2 + BC2 + 2BC.BD

 


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