Question

the diagonal of a rectangle is thrice it's smaller side find the ratio of its sides (hint use Pythagoras theorem)
a. √2:1
b. 2√2:1
c. 3:2
d. √3:1​

Answer 1

Answer:

Hey mate the answer is option (d).

Step-by-step explanation:

Let the smaller side be a and larger side be l.

Therefore, according to the question the diagonal will be 3a.

Now, applying Pythagoras theorem, we get

(3a)²=(a)²+(l)²

9a²=a²+l²

8a²=l²

l=2a√2

Now ratio of the sides i.e. ratio of length and breadth=2a√2/a

=2√2/1

=2√2:1

Hence, option (b) is correct.

Hope it helps you

Please mark it as brainliest answer.