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Question

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


A

Length of AB and AC only

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B

Length of AB, AC and BC

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C

∠A, ∠B and ∠C

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D

AB, BC and ∠C

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Solution

The correct option is B

Length of AB, AC and BC


1. We need three measurements to construct a triangle. The lengths of sides AB, AC and BC are required to draw a unique ΔABC.
2. With the set of measurements of three angles, we can construct infinite triangles. Example: All equilateral triangles have the 60 between any two sides. The sides of the equilateral triangles can be 3 cm, 3 cm and 3 cm or 5 cm, 5 cm and 5 cm or 7 cm, 7 cm and 7 cm. Hence with three angles, an infinite number of triangles can be drawn.
3. Similarly, option D won’t give a unique triangle. Only two sides and an included angle can make a unique triangle.

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