Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio

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Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio

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(a)2: 3
(b)4: 9
(c)81: 16
(d)16: 81

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Class 10 Maths Rohit QNA 3 years 2021-12-29T13:23:45+00:00 2021-12-29T13:23:45+00:00 1 Answer 8 views Enlightened 0

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Rohit QNA Enlightened · Answer 1 · 2021-12-29T13:24:05+00:00

Rohit QNA Enlightened

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2021-12-29T13:24:05+00:00 December 29, 2021 at 1:24 pm

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Answer: d
Explanation: Let ABC and DEF
are two similar triangles, such
that,
ΔABC ~ ΔDEF
And AB/DE = AC/DF = BC/EF =
4/9
As the ratio of the areas of these
triangles will be equal to the
square of the ratio of the
corresponding sides,
∴ Area(ΔABC)/Area(ΔDEF) =
AB2/DE2
∴ Area(ΔABC)/Area(ΔDEF) =
(4/9)2 = 16/81 = 16: 81

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Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio