Question

Steps for the construction of a isosceles triangle ABC whose altitude is 4cm and vertex angle is ${80}^{\circ }$ is given below. Choose the correct order.

1.With M as centre and radius 4cm, draw an arc cutting MP at A.
2.Construct B and C on XY such that $\angle MAB=\frac{80}{2}={40}^{\circ }$ and $\angle MAC=\frac{80}{2}={40}^{\circ }$
3.Take a point M on point XY, and draw a line MP$\perp$ XY
4.Draw a line segment XY.

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

Answer 1

The correct option is D 4,3,1,2

Steps for the construction of a isosceles triangle ABC whose altitude is 4cm and vertex angle is ${80}^{\circ }$ is given below.

1.Draw a line segment XY.
2.Take a point M on point XY, and draw a line MP$\perp$ XY
3.With M as centre and radius 4cm, draw an arc cutting MP at A.
4.Construct B and C on XY such that $\angle MAB=\frac{80}{2}={40}^{\circ }$ and $\angle MAC=\frac{80}{2}={40}^{\circ }$