Construct a triangle ABC with AB = 5cm, angle B = 60 degrees and BC = 6.4cm.
Draw the incircle of the triangle ABC.
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Construction of Incircle for triangle ABC:
Draw a line segment AB = 5 cm.
Draw a ray BX from B by making an angle of 60°.
Draw an arc on BX from B with radius 6.4 cm.
Name this point as C.
Join A and C.
Draw angle bisectors for angles A and B.
Let the point of intersection be I(incenter).
Now, drop a perpendicular from I such that it meets AB at D.
With I as center and ID as radius, draw the circle(incircle).
This circle touches all three sides of the triangle.
NOTE:
1. You can draw angle bisectors for any two angles.
2. Perpendicular from I can be drawn to any of the three sides.
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