The ratio of areas of two similar triangles is 1: 2, then the ratio of – InterviewSolution

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1.

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

Answer»

Correct option is (A) 1 : √2

The ratio of altitudes of similar triangle

= (The ratio of areas of similar triangle\()^\frac12\)

\(=(\frac12)^\frac12=\sqrt{\frac12}\)

\(=\frac1{\sqrt2}=1:\sqrt2\)

Correct option is: (A) 1 : √2

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