Question

sides of 2 similar triangles are in the ratio 3:7. Areas of these triangles are in the ratio. ​

Answer 1

Answer:

Step-by-step explanation:

Ratio of their area = 3^2 : 7^2

= 9:49

Answer 2

Areas of these triangles are in the ratio 9:49

Step-by-step explanation:

Theorem : The ratio of the square of corresponding sides of similar triangles is equal to the ratio of the area of the similar triangles .

We are given that sides of 2 similar triangles are in the ratio 3:7.

By Theorem :

$\frac{3^2}{7^2}=\frac{\text{Area of triangle 1}}{\text{Area of triangle 2}}\\\frac{9}{49}}=\frac{\text{Area of triangle 1}}{\text{Area of triangle 2}}$

Hence Areas of these triangles are in the ratio ​ 9:49

#Learn more :

sides of 2 similar triangles are in the ratio 3:7. Areas of these triangles are in the ratio. ​

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