Question

2. If the ratio of the
corresponding sides of
two similar triangles are in
the ratio 4:9, then the ratio
of areas of similar triangle
is *​

Answer 1

Answer:

Step-by-step explanation:

16 : 81

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 these triangles. It is given that the sides are in the ratio 4:9. Hence, the correct answer is 16 : 81.

Answer 2

Given that :-

the side are in the ratio = 4 : 9

As we know that ,

If two triangle are similar to each other, then the ratio of the areas of these triangles will be equal to the square of ratio of the corresponding sides of these triangles.

Solution :-

Therefore, ratio between areas of these triangles =  $(\frac{4}{9}) ^2$ = $\frac{16}{81}$

hence,

the correct answer is 16 : 81.

                                                                             

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