Question.
Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio
(1) 2 : 3
(2) 4 : 9
(3) 81 : 16
(4) 16 : 81
Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio
(1) 2 : 3
(2) 4 : 9
(3) 81 : 16
(4) 16 : 81
Solution:
$\frac{\text { area of } 1^{\text {st }} \Delta}{\text { area of } 2^{\text {nd }} \Delta}=\left(\frac{4}{9}\right)^{2}=\frac{16}{81}$
$\frac{\text { area of } 1^{\text {st }} \Delta}{\text { area of } 2^{\text {nd }} \Delta}=\left(\frac{4}{9}\right)^{2}=\frac{16}{81}$
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