Question

The diagonal of a rectangle is thrice its smaller side. The ratio of the sides is

• A. $2\sqrt{2}:1$
• B. 3:2
• C. $\sqrt{3}:1$
• D. $\sqrt{2}:1$

Answer 1

The correct option is A $2\sqrt{2}:1$

Given,$d=3l$
$d^2=9l^2=l^2+b^2$
$8l^2=b^2$
$2\sqrt{2}l=b$
$\frac{b}{l}=2\sqrt{2}$