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Two similar triangles have areas 81 sq cm and 144 sq cm. The ratio of their corresponding altitudes is
A3 : 4
B9 : 16
C4 : 3
D3 : 16
Answer & Solution
Correct answer: A. 3 : 4
1. Area ratio is 81 : 144 = 9 : 16.
2. Side ratio (and any linear element ratio) is the square root: 3 : 4.
3. Altitudes are linear, so their ratio is 3 : 4.
_Source: NCERT Class 10 Mathematics, Ch 6 "Triangles", §6.4_
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