Question

The angles of a triangle are in the ratio 3:7 :8 find them in degrees as well as in radians

Answer 1

Answer:

30, 70 and 80 degrees.  or

π/6, 7π/18 and 4π/9 radians.

Step-by-step explanation:

There are 180 degrees in a triangle.

The ratio of the angles is 3 : 7 : 8

The number of parts = 3+7+8 = 18.

So the smallest angle = (3/18) * 180 = 3 * 10 =30 degrees

The other 2 angles are 7/18 * 180 = 7 * 10 =70 degrees.

and 8/18 * 180 = 8 * 10  = 80 degrees.

Converting to radians:

30 = 30 *π/180 = π/6 radians

70 = 70 * π/180 = 7π/18 radians.

80 = 80 * π/180 =  4π/9.