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Question
Construct the incircle of the triangle ABC with AB = 7 cm, ∠B = 50∘ and BC = 6 cm. Then its inradius will measure
Construct the incircle of the triangle ABC with AB = 7 cm, ∠B = 50∘ and BC = 6 cm. Then its inradius will measure
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Solution
The correct option is B 1.8 cm
- Draw △ABC with the given measurements.
- Construct the angle bisectors of any two angles (A and B) and let them meet at I.
- With I as an external point, drop a perpendicular to any one of the sides to meet at D.
- With I as center and ID as radius draw the circle.
Thus we obtain the required incircle.
From the above figure, the measure of the inradius 1.8 cm.
- Draw △ABC with the given measurements.
- Construct the angle bisectors of any two angles (A and B) and let them meet at I.
- With I as an external point, drop a perpendicular to any one of the sides to meet at D.
- With I as center and ID as radius draw the circle.
From the above figure, the measure of the inradius 1.8 cm.
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