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Question
Construct ΔABC such that ∠B = 100°, BC = 6.4 cm, ∠C = 50° and construct its incircle.
Sum
Solution
Rough figure:
Steps of construction:
- Construct ΔABC of given measures.
- Draw bisectors of two angles, ∠C and ∠B.
- Name the point of intersection of angle bisectors as I.
- Draw a perpendicular IM on side BC. Point M is the foot of the perpendicular.
- Draw a circle that touches all sides of the triangle with I as centre and IM as radius.
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Construction of the Incircle of a Triangle.
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