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Question

In an equilateral triangle ABC if AD ⊥ BC, then

(a) 5AB2 = 4AD2
(b) 3AB2 = 4AD2
(c) 4AB2 = 3AD2
(d) 2AB2 = 3AD2

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Solution

∆ABC is an equilateral triangle and .

In ∆ABD, applying Pythagoras theorem, we get

We got the result as .


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