Question

Which of the following represents the ratio of the long leg to the short leg in the right triangle shown below

Answer 1

D) 2:1 because long leg will be bigger, and small leg will be smaller, e.g. Long Leg(2): Small Leg(1)

Answer 2

Answer:

Option A.

Step-by-step explanation:

Let x be the long leg and y be the short leg.

In a right angled triangle,

$\tan \theta = \dfrac{Opposite}{Adjacent}$

In the given triangle,

$\tan (60) = \dfrac{x}{y}$

$\sqrt{3} = \dfrac{x}{y}$

It can be written as

$\dfrac{\sqrt{3}}{1} = \dfrac{x}{y}$

The ratio of the long leg to the short leg is √3:1.

Therefore, the correct option is A.