Mathematics
Construct a △ABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Construct the incircle of the triangle. Measure and record the radius of the incircle.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 6.5 cm.
Cut an arc from C of 5 cm and an arc of 5.5 cm from B.
Mark the point as A where the arcs from B and C intersect.
Join A, B and C. Hence, the △ABC is formed.
Draw the (internal) bisectors of ∠B and ∠C. Let these bisectors meet at point I.
From I, draw IN perpendicular to the side BC.
With I as centre and radius equal to IN, draw a circle. The circle so drawn touches all the sides of the △ABC, and is the required incircle of △ABC.
On measuring IN, we get the radius of the incircle.
Hence, the radius of incircle is 1.5 cm.
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