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The routine tests if the given triangle ABC is a right triangle. It returns true if ABC is a right triangle; false if it is not; and FAIL if it is unable to reach a conclusion.

If FAIL is returned, and the optional argument is given, the condition that makes ABC a right triangle is assigned to this argument. It will be either of the form $\mathrm{expr}=0$ or of the form $\&\mathrm{or}\left(\mathrm{expr\_1}=0,\mathrm{expr\_2}=0,...,\mathrm{expr\_n}\right)$ where expr, expri_i are Maple expressions.

The command with(geom3d,IsRightTriangle) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geom3d}\right)\:$

$\mathrm{triangle}\left(\mathrm{ABC}\,\left[\mathrm{point}\left(A\,0\,0\,0\right)\,\mathrm{point}\left(B\,2\,0\,0\right)\,\mathrm{point}\left(C\,0\,2\,0\right)\right]\right)$

$\mathrm{ABC}$

$\mathrm{IsRightTriangle}\left(\mathrm{ABC}\right)$

$\mathrm{true}$