Question

The ratio of the angle measures of a triangle are 3:3:4. What are the angle measures and the triangle's classification?

36°, 36°, and 108°; obtuse triangle
54°, 54°, and 72°; equilateral triangle
54°, 54°, and 72°; acute triangle
36°, 36°, and 108°; scalene triangle

Answer 1

Sum ratios: 3+3+4 = 10. One part = 180/10 = 18°.
Angles: 3·18 = 54°, 3·18 = 54°, 4·18 = 72°.
Since two angles equal it's isosceles, and the largest angle is 72° (<90°) so the triangle is acute.

Correct choice: 54°, 54°, and 72°; acute triangle.