The ratio of areas of two similar triangles is 1: 2, then the ratio of their altitudes is (A) 1 : √2 (B) 1 : 2
The ratio of areas of two similar triangles is 1: 2, then the ratio of their altitudes is
(A) 1 : √2
(B) 1 : 2
(C) 2 : 1
(D) √2 : 1
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2 Answers
Correct option is (A) 1 : √2
The ratio of altitudes of similar triangle
= (The ratio of areas of similar triangle\()^\frac12\)
\(=(\frac12)^\frac12=\sqrt{\frac12}\)
\(=\frac1{\sqrt2}=1:\sqrt2\)
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