Question

Construct a triangle ABC in which BC = 6 cm, $\angle B={45}^{\circ }$ and AB - AC = 2.5 cm

Steps of construction:
Step 1: Draw BC = 6 cm
Step 2: Construct $\angle YBC={45}^{\circ }$
Step 3 will be -

• A. Join AC, $\Delta ABC$ is the required triangle.
• B. Draw perpendicular bisector of CD intersecting BY at A.
• C. From ray BY, cut-off line segement BD = 2.5 cm
• D. Join CD

Answer 1

The correct option is C From ray BY, cut-off line segement BD = 2.5 cm

Step 3: From ray BY, cut-off line segement BD = 2.5 cm. Join CD
Step 4: Draw perpendicular bisector of CD intersecting BY at A.
Step 5: Join AC, $\Delta ABC$ is the required triangle.