Question

Steps for the construction of a triangle ABC in which AB = 5.8 cm, BC + CA = 8.4 cm and $\angle B={60}^{\circ }$ is given below. Choose the correct order.

1. Join AC.
2. From the segment BX, cut off a line segment BD of length 8.4 cm. Join AD.
3. Draw the perpendicular bisector of AD. Let it meet BD at C.
4. Draw a line segment AB of length 5.8 cm.
5. Draw a line segment BX, sufficiently large such that $\angle ABX={60}^{\circ }$.

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

Answer 1

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

The correct order of steps for the construction of a triangle ABC in which AB = 5.8 cm, BC + CA = 8.4 cm and $\angle B={60}^{\circ }$ is given below.

(i) Draw a line segment AB of length 5.8 cm.
(ii) Draw a line segment BX, sufficiently large such that $\angle ABX={60}^{\circ }$.
(iii) From the segment BX, cut off a line segment BD of length 8.4 cm. Join AD.
(iv) Draw the perpendicular bisector of AD. Let it meet BD at C.
(v) Join AC.