Question

If the ratio of two similar triangles is 64:121 , then the ratio of their corresponding side is

Answer 1

Ratio of the areas of two similar triangle is = ratio of the square of corresponding sides

Answer 2

The ratio of their corresponding sides is 8:11.

Step-by-step explanation:

Since we have given that

Ratio of two similar triangles = 64:121

So, we need to find the corresponding sides.

As we know the "Area similarity theorem":

So, it becomes.

$\dfrac{64}{121}=\dfrac{S^2_1}{S^2_2}\\\\\dfrac{8^2}{11^2}=\dfrac{S^2_1}{S^2_2}\\\\\dfrac{S_1}{S_2}=\dfrac{8}{11}$

Hence, the ratio of their corresponding sides is 8:11.

# learn more:

The area of two similar triangles are 25 and 121 find the ratio of their corresponding sides

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