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Math Formulas: Triangles in two dimensions
Area
The area of the triangle formed by the three lines:
is given by
The area of a triangle whose vertices are P1(x1,y1), P2(x2,y2), and P3(x3,y3) is given by :
Centroid
The centroid of a triangle whose vertices are P1(x1,y1), P2(x2,y2), and P3(x3,y3) is given by:
Incenter
The incenter of a triangle whose vertices are P1(x1,y1), P2(x2,y2), and P3(x3,y3)is given by:
where a is the length of P2P3, b is the length of P3P1, and c is the length of P1P2
Circumcenter
The circumcenter of a triangle whose vertices are P1(x1,y1), P2(x2,y2), and P3(x3,y3) is given by:
Orthocenter
The orthocenter of a triangle whose vertices are P1(x1,y1), P2(x2,y2), and P3(x3,y3) is given by:
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