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ABC is an equilateral triangle of side 2a. The length of its altitude is
Aa
B2a
Ca square root of 2
D(a square root of 3)
Answer & Solution
Correct answer: D. (a square root of 3)
1. Altitude bisects base, so half-base is a.
2. h squared = (2a) squared minus a squared = 4 a squared minus a squared = 3 a squared.
3. h = a square root of 3.
_Source: NCERT Class 10 Mathematics, Ch 6 "Triangles", §6.5_
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