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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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