Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.
Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.

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.

Selina Solutions Concise Class 10 Maths Chapter 19 ex. 19 - 7

the radius, OL = 1.4 cm.