def (a, b, c) = [[x: 17, y: 13], [x: 21, y: 27], [x: 38, y: 7]]
boolean isOrthogonalVectors(int mx, int my, int nx, int ny) {
return (mx*nx + my*ny == 0);
}
boolean isRightTriangle(a, b, c) {
boolean result = false;
int abx = a.x - b.x;
int aby = a.y - b.y;
int acx = a.x - c.x;
int acy = a.y - c.y;
if (isOrthogonalVectors(abx, aby, acx, acy)) {
result = true;
}
else {
int bcx = c.x - a.x;
int bcy = c.y - a.y;
result = isOrthogonalVectors(abx, aby, bcx, bcy) || isOrthogonalVectors(acx, acy, bcx, bcy);
}
return result;
}
println "$a, $b, $c"
println isRightTriangle(a, b, c)
(b, c) = [c, b]
println "$a, $b, $c"
println isRightTriangle(a, b, c)
c.x++
println "$a, $b, $c"
println isRightTriangle(a, b, c)
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