Question

If the angles of a triangle are in the ratio 3:4:5, find the smallest angle in degrees and the greatest angle in radians.

Answer 1

3x + 4x + 5x = 180
12x = 180
x = 180/12
x = 15
3x = 45
4x = 60
5x = 75 

so the smlllest ngle in degrees is 3x = 45 dgree

Answer 2

Ratio among the angles = 3:4:5
Let the angles be 3x, 4x and 5x.

Sum of angles of a triangle = 180
⇒ 3x + 4x + 5x = 180
⇒ 12x = 180
⇒ x = 180/12 = 15

Angles are(in degree):
3x = 15*3 = 45
4x = 15*4 = 60
5x = 15*5 = 75

greatest angle = 75 degree
180 degree = π radians
1 degree = (π / 180) radians
75 degree = (π / 180) * 75 = 3.14*75/180 = 1.308 radian

Smallest angle = 45 degree
greatest angle = 1.308 radian