Mathematics
Using ruler and compasses only, draw an equilateral triangle of side 5 cm. Draw its inscribed circle. Measure the radius of the circle.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 5 cm.
With centers B and C, draw two arcs of 5 cm intersecting each other at A.
Join AB and AC.
Draw angle bisectors of ∠B and ∠C intersecting each other at O.
From O, draw perpendicular OL to BC.
With O as center and OL as radius draw a circle, touching sides of △ABC. Measure OL.
On measuring,
OL = 1.4 cm.
Hence, above is the required incircle of △ABC with radius = 1.4 cm.
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