# The ratio of the corresponding altitudes of two similar triangles is 35. Is it correct to say that ratio of their areas is 65? Why? - Mathematics

Sum

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?

#### Solution

False

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) = (3/5)^2

⇒ 9/25 ≠ 6/5

So, the given statement is not correct.

Concept: Similarity of Triangles
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 6 Triangles
Exercise 6.2 | Q 9 | Page 64
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