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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

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प्रश्न

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?

बेरीज

उत्तर

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.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Triangles - Exercise 6.2 [पृष्ठ ६४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
पाठ 6 Triangles
Exercise 6.2 | Q 9 | पृष्ठ ६४

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