Question

Which of the following step is not required to construct a $△ABC$, when AB= 3cm, BC= 5cm and $\angle ABC={60}^{\circ }$.

• A. Draw a rough sketch of the triangle. Draw BC = 5cm.
• B. With the help of compass, construct $\angle PBC={60}^{\circ }$.
• C. With B as centre, draw an arc of 3cm length which cuts BP at point A.
  $\therefore$ BA = 3cm.
  Join A and C.
• D. With the help of compass, construct $\angle PAC={60}^{\circ }$.

Answer 1

The correct option is D With the help of compass, construct $\angle PAC={60}^{\circ }$.

Steps involved to construct a triangle, given two sides and an included angle is as follows:

• Draw a rough sketch of the triangle.
• Draw BC = 5cm.
• With the help of compass, construct $\angle PBC={60}^{\circ }$.
• With B as centre, draw an arc of 3cm length which cuts BP at point A.
  $\therefore$ BA = 3cm.
• Join A and C.