Question

Steps for the construction of a triangle ABC in which AB= 5cm, $\angle A={30}^{\circ }$ and AC-BC=2.5cm is given below. Choose the correct order.

1.Draw another line segment AX, Sufficiently large such that $\angle BAX={30}^{\circ }$
2.Draw the perpendicular bisector of BD and let meet it AX at C.
3.From the segment AX, cut off line segment AD=2.5cm which is equal to (AC-BC). Join AD
4.Draw a line segment AB of length 5cm
5.Join BC

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

Answer 1

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

1.Draw a line segment AB of length 5cm
2.Draw another line segment AX, Sufficiently large such that $\angle BAX={30}^{\circ }$
3.From the segment AX, cut off line segment AD=2.5cm which is equal to (AC-BC). Join AD
4.Draw the perpendicular bisector of BD and let it meet AX at C.
5.Join BC