Question

Can you construct a unique triangle with any 3 possible measurements of sides or angles?

• A. Yes
• B. With 3 angles, Yes; With 3 sides, No
• C. With 3 sides, Yes; With 3 angles, No
• D. No, not possible

Answer 1

The correct option is C

With 3 sides, Yes; With 3 angles, No

Measurement of all the sides or 2 angles and 1 side or 1 angle and two sides are required to construct a unique triangle. Using 3 angles, we can construct many triangles, not a unique triangle. E.g. there are infinite equilateral triangles though they have all the angles equal to ${60}^{\circ }$.