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Question:
In an equilateralΔABC, if AD ┴BC, then

Option A):
3AB² = 2AD²
Option B):
3AB² = 4AD²
Option C):
2AB² = 3AD²
Option D):
4AB² = 3AD²

Correct Answer is Option B):
3AB² = 4AD²

Explanation:
Solution:
Let AB = BC = AC = a
AB² = AD² + BD² (Pythagoras Theorem)
a²  = AD² + a²/4

3a²/4 = AD2             3AB2 = 4AD2