Question

If the ratio of areas of similar triangles is 16:121. What is the ratio of their corresponding sides? ​

Answer 1

✯ Given :-

• The ratio of areas of similar triangles is 16:121.

✯ To Find :-

• What is the ratio of their corresponding sides ?

✯ Solution :-

➙ The ratio of areas of similar triangles having area A₁ and A₂ respectively.

➣ According to the question,

⇒ $\dfrac{\sf{s_1}}{A₂}$ = $\dfrac{\sf{s_1}}{s₂}$

⇒ $\dfrac{16}{121}$ = $\dfrac{\sf{s_1}}{s₂}$

Taking square roots on both sides we get,

⇒ $\dfrac{4}{11}$ = $\dfrac{\sf{s_1}}{s₂}$

➥ $\dfrac{\sf{s_1}}{s₂}$ = $\dfrac{4}{11}$

$\therefore$ The ratio of their corresponding sides will be $\boxed{\bold{\large{4:11}}}$

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Answer 2

Answer:

Your answer is 4:11.

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