Question

The measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?

(give all 3 angle measurements pls)

Answer 1

9514 1404 393

Answer:

36°, 54°, 90°

Explanation:

We have to assume that the given measures are angle ratios, not side ratios. Sides in the ratios 2:3:5 will not form a triangle.

For some multiplier x, the angle values will total 180°.

2x +3x +5x = 180

x = 180/(2+3+5) = 18

Then the angle measures are ...

2x° = 2·18° = 36°

3x° = 3·18° = 54°

5x° = 5·18° = 90°

The angle measures are 36°, 54°, and 90°.