Question

Which of the following step is not required to construct a $△ABC$, when AB= 4cm, $\angle A={60}^{\circ }$ and $\angle B={30}^{\circ }$.

• A. Draw AB = 4cm. At A, draw AP making an angle of ${60}^{\circ }$ with AB, i.e, draw angle PAB = ${60}^{\circ }$.
• B. At B, draw BQ making an angle of ${30}^{\circ }$ with AB, i.e, draw angle QBA = ${30}^{\circ }$.
• C. AP and BQ intersect each other at point C.
• D. Draw a perpendicular bisector from point A and cut an arc at length 4cm from the foot of the perpendicular bisector

Answer 1

The correct option is D Draw a perpendicular bisector from point A and cut an arc at length 4cm from the foot of the perpendicular bisector

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 ${60}^{\circ }$ with AB, i.e, draw angle PAB = ${60}^{\circ }$.
• At B, draw BQ making an angle of ${30}^{\circ }$ with AB, i.e, draw angle QBA = ${30}^{\circ }$.
• AP and BQ intersect each other at point C.