The steps to draw a triangle with the base BC, a base angle ∠B and the differe

Question

The steps to draw a triangle with the base BC, a base angle $∠$ B and the difference of other two sides is given below.
1. Draw the base BC and at point B make an angle say XBC equal to the given angle.
2. Cut the line segment BD equal to AB - AC on the reflection of ray BX (i.e. BX').
3. Join DC and draw the perpendicular bisector, say PQ of DC.
The next step will be:

Options:

A . Let PQ intersect BX at a point A. Join AC.

B . Draw angle bisector of

∠

C . Draw perpendicular bisector of AD

D . Draw angle bisector of

∠

Answer: Option A
:
A

The next step is:
4. Let PQ intersect BX at a point A. Join AC. $Δ$ ABC is the required triangle. The construction is shown in the image below.

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