Steps for Construction:

i) Draw a line segment BC = 5 cm

ii) With centres as B and C, draw two arcs of radius 5 cm each which intersect each other at A.

iii) Then, join AB and AC.

iv) Draw angle bisectors of ∠B and ∠C which intersect each other at O.

v) Draw OL ⊥ BC, from O.

vi) Now with centre O and radius OL, draw a circle which will touch the sides of ΔABC.

the radius, OL = 1.4 cm.