Question

the sides of two similar triangles are in the ratio 4:7 then the areas of these triangles are in the ratio​

Answer 1

Answer:

as we know that,

the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides...

here, corresponding sides are in the ratio 4:7

then,the ratio of their area will be

• 4^2:7^2
• 4×4:7×7
• 16:49 sq.units

Answer 2

The ratio​ of the areas of these triangles is 16: 49.

Given: The sides of two similar triangles are in the ratio of 4:7

To Find: The ratio​ of the areas of these triangles

Solution:

• If two triangles are similar to each other, then the ratio of the areas of these triangles will be equal to the square of the ratio of the corresponding sides of the respective triangles.
• It is given that the sides are in the ratio 4: 7, therefore we can say that

        The ratio between the areas of these triangles = ( 4 )² / ( 7 )²

                                                                                          = 16 : 49

Hence, the ratio​ of the areas of these triangles is 16: 49.

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