How to construct incircle of triangle.

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Solution

To construct incircle of a triangle, first we need to locate the in-centre.
In-centre of a circle is the point of intersection of angular bisectors of all angles.
Hence,
(i) Draw angular bisector of any two angles.
(ii) let these bisectors intersect at O
(iii) O is in-centre.
Now, from O drop a perpendicular to the sides and let the foot of perpendicular a on a line be M. Taking O as centre and OM as radius draw a circle. Your incircle is done.
See the following diagram which explains all the steps:

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