Question

the angles of a triangle are in the ratio 3 : 4 : 5 . the smallest angle in radian will be ​

Answer 1

Answer:

The smallest angle =3 .

Answer 2

Answer:

The smallest angle will be π/4 radians

Step-by-step explanation:

The angles are in the ratio 3:4:5

Hence, the may be assigned as 3x, 4x and 5x

By angle sum property of a triangle,

3x + 4x + 5x = 180

=> 12x = 180

=> x = 15

The smallest angle = 3x = 3*15 = 45

Now, 180° = π radians

=> 45° = (π/4) radians

The smallest angle will be π/4 radians