Question

The measures of the angles of a triangle are in the ratio 3:7:8 . Find their measures in degrees and radian.

Answer 1

Answer:

The measure in degrees are 30°, 70° and 80°.

The measure in Radian are π/6, 7π/18 and 4π/9.

Step-by-step explanation:

Consider the provided information.

The measures of the angles of a triangle are in the ratio 3:7:8 .

The sum of all angles of a triangle is 180°

So, let say that the measures are,  3x, 7x and 8x

Thus,

3x+7x+8x=180

18x=180

x=10

Therefore the measure are:

3×10=30°

7×10=70°

8×10=80°

To convert degrees into radian us the rule:

1°×π/180°= Radian

30°×π/180°= 0.523599 Radian or π/6 Radian

70°×π/180°= 1.22173 Radian or 7π/18 Radian

80°×π/180°= 1.39626 Radian or 4π/9 Radian

Hence, the measure in degrees are 30°, 70° and 80°.

The measure in Radian are π/6, 7π/18 and 4π/9.

Answer 2

Step-by-step explanation:

above one is right .....