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

Option A.

Explanation:

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

In a right angled triangle,

`\tan \theta = (Opposite)/(Adjacent)`

In the given triangle,

`\tan (60) = (x)/(y)`

`√(3) = (x)/(y)`

It can be written as

`(√(3))/(1) = (x)/(y)`

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

Therefore, the correct option is A.