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

Ans: AC² = AD² + CD²

= AD² + (BC + BD)²

= AD² + BC² + 2BC.BD+BD²

= AB² + BC² + 2BC.BD

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