Question

The measures of the angles of a triangle are in the ratio 6: 3: 7. Determine the measure, in

degrees, of the largest, and smallest angle of the triangle.

Answer 1

Explanation:

If the ratio of triangle = 6:3:7

Total ratio = 6+3+7 = 16

The sum of angle in a triangle is 180°

1st angle= 6/16 × 180 = 6 × 11.25

= 67.5°

2nd angle= 3/16 × 180 = 3 × 11.25

= 33.75°

3rd angle= 7/16 × 180 = 7 × 11.25

= 78.75°

Largest is 78.75° and smallest is 33.75°