Question

The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measures of the angles.

The smallest angle =


The medium angle =


The largest angle =

Answer 1

See below

Explanation:

All of the interior angles of a triangle sum to 180 °

Smallest is 5 out of (14 + 5 + 11) = 5/30 ths of 180° = 30°

Middle is 11/30 ths = 66°

Largest is 14/30 ths = 84°

Answer 2

30° , 66° , 84°

Explanation:

sum the parts of the ratio, 14 + 5 + 11 = 30 parts

divide the sum of the angles in a triangle 180° by 30 to find the value of one part of the ratio.

180° ÷ 30 = 6° ← value of 1 part of the ratio , then

smallest angle = 5 × 6° = 30°

medium angle = 11 × 6° = 66°

largest angle = 14 × 6° = 84°