Question

A shelf is in the shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio 1:2:5 and Classify it.

Answer 1

22.5deg, 45deg, 112.5deg, an obtuse triangle.

Explanation:

The sum of angles is 180deg.

If they're in the ratio of 1:2:5, one angle is 1/(1+2+5)=1/8 of 180deg, the others are 2/8 and 5/8, so:

Smallest angle is 180deg * 1/8 = 22.5deg

Second is 180deg * 2/8 = 45deg

Third is 180deg * 5/8 = 112.5deg

it's an obtuse triangle, as it has an angle over 90deg