Question

Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.

sides: 3 inches, 9 inches, and 8 inches
Responses
A no triangleno triangle
B a unique trianglea unique triangle
C more than one trianglemore than one triangle
D the answer cannot be determined

Answer 1

B — a unique triangle.

Reason: 3 + 8 > 9, 3 + 9 > 8, and 8 + 9 > 3 so a triangle exists, and three side lengths (SSS) determine a unique triangle up to congruence.