Mathematics
Construct a ΔABC in which AB = 4.5 cm, BC = 7 cm and median AD = 4 cm. Draw the inscribed circle of the triangle and measure its radius.
Constructions
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Answer
Steps of construction :
Draw BC = 7 cm. Mark its mid-point as D.
With B as centre and radius 4.5 cm, draw an arc.
With D as centre and 4 cm as radius, draw another arc, cutting the first arc at A.
Join AB and AC.
Construct the angle bisectors BH and CE of ∠ABC and ∠ACB.
Let the two angle bisectors intersect at point I.
Draw IP perpendicular to BC.
With I as centre and IP as radius, draw a circle.
Hence, radius IP = 2 cm.
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