Triangle Geometry & Radii

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1.
In a triangle with sides 13, 14, 15, find the semi-perimeter and area using Heron's formula.
2.
Find the inradius of the triangle with sides 13, 14, 15.
3.
Find the circumradius of the triangle with sides 13, 14, 15.
4.
The ex-radius r_a (opposite to vertex A) is given by:
5.
The inradius r of a triangle is related to area Delta and semi-perimeter s by:

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