What are the properties of inradius .?
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This angle is going to be equal to that angle and then this angle is going to be equal to that angle there. And the point where those angle bisectors intersect, that right over there, is our incenter and it is equidistant from all of the three sides. And the distance from those sides, that's the inradius....
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For instance, for an equilateral triangle with side length s \color{#D61F06}{s} s, we have the following: The altitude, median, angle bisector, and perpendicular bisector for each side are all the same single line. These 3 lines (one for each side) are also the lines of symmetry of the triangle.
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