Question
Using ruler and compasses only, draw an equilateral triangle of side 5 cm, draw its inscribed circle. Measure the radius of the circle.
✓
Answer
Steps of Construction:
i) Draw a line segment BC = 5 cm
ii) With centers B and C, draw two arcs of 5 cm radius each which intersect each other at A.
iii) Join AB and AC.
iv) Draw angle bisectors of ∠B and ∠C intersecting each other at O.
v) From O, draw OL ⊥ BC.
vi) Now with centre O and radius OL, draw a circle which will touch the sides of ΔABC
On measuring, OL = 1.4 cm
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