Question

Steps for the construction of a triangle ABC whose perimeter is 12.5 cm and whose base angles are ${60}^{\circ }$ and ${75}^{\circ }$ are given below. Choose the correct order.

1.Join AB and AC
2.Draw a line segment PQ of length 12.5cm
3.Construct rays PR such that $\angle QPR={60}^{\circ }$ and QS such that $\angle PQS={75}^{\circ }$
4.Draw the perpendicular bisector of AP and AQ and let these intersect PQ at B and C respectively.
5.Draw the bisectors PL and QM of $\angle QPR$ and $\angle PQS$ respectively. Let these intersect at A.

• A. 2,3,1,5,4
• B. 2,3,5,4,1
• C. 2,3,4,1,5
• D. 2,3,1,5,4

Answer 1

The correct option is B 2,3,5,4,1

Steps for the construction of a triangle ABC whose perimeter is 12.5 cm and whose base angles are ${60}^{\circ }$ and ${75}^{\circ }$ are given below.

1.Draw a line segment PQ of length 12.5cm
2.Construct rays PR such that $\angle QPR={60}^{\circ }$ and QS such that $\angle PQS={75}^{\circ }$
3.Draw the bisectors PL and QM of $\angle QPR$ and $\angle PQS$ respectively. Let these intersect at A.
4.Draw the perpendicular bisector of AP and AQ and let these intersect PQ at B and C respectively.
5.Draw the bisectors PL and QM of $\angle QPR$ and $\angle PQS$ respectively. Let these intersect at A.