Question

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

पर्याय

• 2 : 3

• 4 : 9

• 81 : 16

• 16 : 81

Answer 1

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)`