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Sides of Two Similar Triangles Are in the Ratio 4 : 9. Areas of These Triangles Are in the Ratio. (A) 2 : 3 (B) 4 : 9 (C) 81 : 16 (D) 16 : 81 - Mathematics

MCQ

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

Options

  • 2 : 3

  • 4 : 9

  • 81 : 16

  • 16 : 81

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Solution

Given: Sides of two similar triangles are in the ratio 4:9

To find: Ratio of area of these triangles

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

`\text{ar(tringle 1)}/\text{ar(tringle 2)}=(\text{side1}/\text{side2})^2`

`=(4/6)^2`

`\text{ar(tringle 1)}/\text{ar(tringle 2)}=16/81`

Hence the correct answer is option `(d)`

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 1 | Page 131
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