Question

Q. 1. (A) Four alternative answers are given for each of the following subquestions.
Choose the correct alternative and write the alphabet of that answer:
(iv) The areas of two similar triangles are 9 cm² and 16 cm². The ratio of their
corresponding heights is
(A) 9:16
(B) 3:4 (C) 4:3
(D) 16:9​

Answer 1

Answer:

Hope it helps!! Mark this answer as brainliest if u found it useful and follow me for quick and accurate answers...

Step-by-step explanation:

Given: Area of two triangle are 9cm² and 16cm²

To find: Ratio of their corresponding sides

$\large\frac{ar(∆1)}{ar(∆2)} = ( \frac{side 1}{side2}) {}^{2} \\ \\ \large \frac{9}{12} = ( \frac{side 1}{side2}) {}^{2} \\ \\ \large \sqrt{\frac{9}{12}} = \sqrt{( \frac{side 1}{side2}) {}^{2}} \\ \\ \large\therefore \frac{side1}{side2} = \frac{3}{4}$

So, the ratio of their corresponding sides is 3 : 4