Question

Which descriptions can describe more than one triangle? Select two options.

side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 350, 350, and 110°
angle measurements of 30°, 40º, and 50°
angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm

Answer 1

• angle measurements of 35°, 35°, and 110°
• angle measurements of 40°, 60°, and 80°

Explanation:

The angles must have a sum of 180°, or they don't specify any triangles. If only angles are specified, the description fits and infinite number of triangles.

If only sides are specified, the description fits exactly one triangle (provided the lengths satisfy the triangle inequality).

The descriptions that fit more than one triangle are ...

• angle measurements of 35°, 35°, and 110°
• angle measurements of 40°, 60°, and 80°