Question

the measure of angles of a triangle are in the ratio of 3 is to 7 is to 8 find their measures in degree and radian ​

Answer 1

let the ratios be 3x, 7x and 8x

we know that the sum of the angles in a triangle =180°

thus,

3x+7x+8x=180°

18x=180°

x=180/18

x=10°

thus,

3x=3×10°

=30°

7x=7×10°

=70°

8x=8×10°

80°

thus, the measures of the angles are 30°,70°and 80°

in radians,

3x=30°

30° in radians

=30×π/180

=30×3.14/180

=0.524 radiant

7x=70°

=70×π/180

=70×3.14/180

=1.222 radian

8x=80°

=80×π/180

=80×3.14/180

=1.396 radian