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  1. In an equilateral Δ ABC, if AD ⊥ BC, then which option is true?
    1. 3AB2 = 2AD2
    2. 2AB2 = 3AD2
    3. 3AB2 = 4AD2
    4. 4AB2 = 3AD2
    5. none of these
Correct Option: C

Lat AB = BC = AC = a
AB2 = AD2 + BD2 (Pythagoras Theorem)

a2 = AD2 +a2
4

3a2 = AD2
4


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