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Question
Construct ΔXYZ such that XY = 6.7 cm, YZ = 5.8 cm, XZ = 6.9 cm and constructs its incircle.
Sum
Solution
Rough figure:
Steps of construction:
- Construct ΔXYZ of given measures.
- Draw bisectors of two angles, ∠X and ∠Z.
- Name the point of intersection of angle bisectors as I.
- Draw a perpendicular IM on side XZ. 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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