B. In an equilateral triangleABC,AD perpendicular to BC. then prove that AD^2=3BD^2
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Answered by
5
Step-by-step explanation:
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Answered by
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Answer:
PROVED
Step-by-step explanation:
AB = BC = CA
AD is perpendicular to BC so BC is bisected and also ADB is a Pythagorean theorem so , AD^2 + BD^2 = AB^2
so BC = BD + CD = BD + BD = 2BD
AB = BC
AB = 2BD
AD^2 + BD^2 = AB^2
AD^2 + BD^2 = (2BD)^2
AD^2 + BD^2 = 4BD^2
AD^2 = 4BD^2 - BD^2
AD^2 = 3BD^2
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