Question

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

• A. Yes
• B. With $3$ sides, yes; with $3$ angles, no
• C. No
• D. With $3$ angles, yes; with $3$ sides, no
  

Answer 1

The correct option is B With $3$ sides, yes; with $3$ angles, no

The measurements of all the sides, or $2$ angles and $1$ side, or $1$ angle and two sides are required to construct a unique triangle. We can construct many triangles using $3$ angles, not a unique triangle. For example, there can be infinite equilateral triangles with all their angles equal to ${60}^{\circ }$