Question

If ratio of areas of similar triangles is16:121what is ratio of their corresponding sides ​

Answer 1

Answer:

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.

\frac{64}{121}

121

64

= S1/S2

8^2/11^2 = S1^2/S2^2

S1/S2 = 8/11

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

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Answer 2

Answer:

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Step by step explanation

Since triangles are similar, so the ratio of square root of areas will be ratio of base =81121=911=b2b1(Let)

Let ratio of heights be h2h1.

Now, A2A1=21b2h221b1h1=b2b1×h2h1=h2h1=911