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Question

Which of the following information are needed to draw a unique ΔABC?


  1. Length of AB and AC only

  2. Length of AB, AC and BC

  3. A, B and C

  4. AB, BC and C


Solution

The correct option is B

Length of AB, AC and BC


We need three measurements to construct a triangle. The lengths of sides AB, AC and BC are required to draw a unique ΔABC (SSS criterion). With the set of measurements of three angles, we can construct infinite triangles (AAA is not a congruence criterion). Similarly, two angles and excluded angle will not give a unique  triangle (SSA is not a congruence criterion).

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