Question

The ratio of the corresponding altitudes of two similar triangles is `3/5`. Is it correct to say that ratio of their areas is `6/5`? Why?

Answer 1

Ratio of corresponding altitudes of two triangles having areas A₁ and A₂ respectively is `3/5`.

By the property of area of two similar triangles,

⇒ `("A"_1/"A"_2) = (3/2)^2`

⇒ `9/25 ≠ 6/5`

So, the given statement is not correct.