Question

In the construction of a triangle ABC in which BC = 6 cm, $\angle B={45}^{\circ }$ and AB - AC = 2.5 cm, how many perpendicular bisectors are drawn?

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is A 1

Steps of construction:
Step 1: Draw BC = 6 cm.
Step 2: Construct $\angle YBC={45}^{\circ }$.
Step 3: From ray BY, cut-off line segment BD = 2.5 cm.
Step 4: Join CD.
Step 5: Draw perpendicular bisector of CD intersecting BY at A.
Step 6: Join AC, $\Delta ABC$ is the required triangle.

$\therefore$ In the whole construction, only one perpendicular bisector (that of CD) is drawn.