Question

Construct a triangle ABC in which BC is 4 cm, $\angle B$ is ${45}^{\circ }$ and AB - AC =1.75 cm. [4 MARKS]

Answer 1

Steps : 1 Mark
Construction : 3 Marks

Steps :
1. Draw line segment BC = 4cm. Draw ray BX which makes an angle ${45}^{\circ }$ with BC.
2. Cut off line segment BD of length AB - AC = 1.75 on BX. Join CD.
3. Draw the perpendicular bisector of CD. Let the perpendicular bisector intersect ray BX at A.
4. Triangle ABC is the required triangle.