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Question
Let ABC be an equilateral triangle and AX, BY, CZ be the altitude. Then the right statement out of the four give responses is :
Options:
A .  AX = BY = CZ
B .  AX ≠ BY = CZ
C .  AX = BY ≠ CZ
D .  AX ≠ BY ≠ CZ
Answer: Option A
According to question,
In an equilateral triangle
AB = BC = AC
∠A = ∠B = ∠C = 60°
∴ AX = BY = CZ
(All altitudes are same in an equilateral triangles)

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