Question

2. If the ratio of areas of two similar triangles is 4:9, then find the ratio of their corresponding sides.
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Answer 1

Answer:

16: 81

Step-by-step explanation:

By theorem.

[4/9]^2= 16:81

Answer 2

$\huge\fcolorbox{black}{teal}{Solution:-}$

✏ Answer :-

★ Ratio of the corresponding sides will be = 2:3 .

✏ Step-by-step explanation :-

★ Let the two similar ∆les be ∆ABC and ∆PQR.

Now,

Given that,

Ar. (∆ABC) : Ar. (∆PQR) = 4:9

⇒AB² : PQ² = 4:9

⇒AB : PQ = √4:√9

⇒AB : PQ = 2:3

∴ The ratio of the corresponding sides will be = 2:3 .

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I hope this helps! :)