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AABC is an obtuse angle, obtuse angled at B. If AD I CB , prove thatAC2 = AB2 + BC2 + 2BC.BD- |
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Answer» Given: ABC is OBTUSE triangle. AB² = AD² + DB² ⟶ (1) AC² = AD² + DC² ⟶ (2) from (1) AD² = AB − DB² ∴AC² = AB² − DB² + (DB + BC)² [∵BC = DB + BC] AC² = AB² − DB² + DB² + BC² + 2BC × DB AC² = AB² + BC² + 2BC × DB Hence Proved...! |
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