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Question
Draw an isosceles triangle with sides 6 cm, 4 cm, and 6 cm. Construct the incircle of the triangle. Also, write the steps of construction.
Solution
Steps of construction:
1) Construction a Δ ABC such that AB = 4 cm, AC = 6 cm, BC = 6 cm
2) Draw the bisectors of ∠ A and ∠ B and let them meet at O.
3) With O as centre draw OM the right bisector of AB meeting AB at D.
4) With O as centre and OD as radius draw a circle. The circle touches the sides of the Δ ABC at D, E, and F. Then this is the required incircle of Δ ABC.
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