Question

The diagonal of a rectangle is thrice its smaller side .find the ratio of it sides.(Hint:use

Pythagoras theorem)​

Answer 1

Solution:

Let the length of smaller side be x.

Therefore, diagonal = 3x

Larger side = √10x

Therefore, ratio of larger side to smaller side is √10 : 1.

Answer 2

Answer:

The diagonal of the rectangle is the hypotenuse of its sides.

Let the sides be x,y

The diagonal is 3x

⟹(3x) ²=x ² +y ²

9x ²=x ²+y ²

y ² =8x ²

y=2 √2x

Step-by-step explanation:

The ratio of sides are x:2 √2x=1:2 √2