Question

Given that $\angle A={50}^{\circ }$ and $\angle B={60}^{\circ }$ , which of the following information is required to construct $△ABC$?

• A. Length AB = 4cm
• B. Length BC = 4cm
• C. Length AC = 4cm
• D. None of the above

Answer 1

The correct option is A Length AB = 4cm

To construct a triangle with two known angles, the included side also has to be known.
Steps involved to construct a triangle, given two angles and an included side is as follows:

• Draw AB = 4cm.
• At A, draw AP making an angle of ${50}^{\circ }$ with AB, i.e, draw angle PAB = ${50}^{\circ }$.
• At B, draw BQ making an angle of ${60}^{\circ }$ with AB, i.e, draw angle QBA = ${60}^{\circ }$.
• AP and BQ intersect each other at point C.