Question

6. The areas of two similar triangles are in respectively 9 cm² and 16 cm. Find the ratio
of their corresponding sides.
​

Answer 1

Answer:

3:4

Step-by-step explanation:

Given: Areas of two similar triangles are 9cm2 and 16cm2.

To find: Ratio of their corresponding sides.

Proof :

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

ar(△ABC)/ar(△PQR) = BC²/QR² [By theorem]

=> 9/16 = BC²/QR²

=> 3²/4² = BC²/QR²

=> 3/4 = BC/QR

Hence,

Ratio of their corresponding sides = 3 : 4

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