Question

If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.​

Answer 1

30, 90

1 : √3 : 2

Explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )