Using ruler and compasses only :

(i) Construct a triangle ABC with the following data :

BC = 7 cm, AB = 5 cm and ∠ABC = 45°.

(ii) Draw the inscribed circle to △ABC drawn in part (i).

(i) Steps of construction :

1. Draw a line segment BC = 7 cm.

2. At B draw a ray BX making an angle of 45° and cut off BA = 5 cm.

3. Join AC.

Hence, the required triangle ABC is formed.

(ii) Steps of construction :

1. Draw the angle bisectors of ∠B and ∠C intersecting each other at I.

2. From I draw a perpendicular ID on BC.

3. With centre as I and radius ID, draw a circle which touches all the sides of △ABC.

This is the required inscribed circle to △ABC.