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Question

If ∆ABC is an equilateral triangle such that AD ⊥ BC, then AD2 =

(a) 32DC2
(b) 2 DC2
(c) 3 CD2
(d) 4 DC2

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Solution

Given: In an equilateral ΔABC, .

Since , BD = CD = BC2

Applying Pythagoras theorem,

In ΔADC

We got the result as


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