Assertion: triangle | /r/HasProperty | degenerate
Facets:
Source sentences:
text: A triangle with an interior angle of 180° (and collinear vertices) is degenerate.
text: If each triangle inequality holds strictly, h > 0 and the triangle is non-degenerate (has positive area); but if one of the inequalities holds with equality, so h = 0, the triangle is degenerate.
text: x + y ‖ = ‖ x ‖ + ‖ y ‖ {\displaystyle \|x+y\|=\|x\|+\|y\|} if and only if the triangle formed by x, y, and x + y, is degenerate, that is, x and y are on the same ray, i.e., x = 0 or y = 0, or x = α y for some α > 0.
text: Then the triangle formed by x, y, and x + y, is non-degenerate but