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In geometry, the hinge theorem (sometimes called the open mouth theorem) states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle. [1]
The parameters most commonly appearing in triangle inequalities are: the side lengths a, b, and c;; the semiperimeter s = (a + b + c) / 2 (half the perimeter p);; the angle measures A, B, and C of the angles of the vertices opposite the respective sides a, b, and c (with the vertices denoted with the same symbols as their angle measures);
Kunita–Watanabe inequality; Le Cam's theorem; Lenglart's inequality; Marcinkiewicz–Zygmund inequality; Markov's inequality; McDiarmid's inequality; Paley–Zygmund inequality; Pinsker's inequality; Popoviciu's inequality on variances; Prophet inequality; Rao–Blackwell theorem; Ross's conjecture, a lower bound on the average waiting time ...
1. The NBA Cup is _____. Kevin O'Connor: An upgrade over the standard regular season.While I understand the criticisms, they pale in comparison to the rather vapid nature of the season from ...
“As a matter of fact, this guy, this big 6-foot-4 guy, was made on a Carnival Cruise,” she said to her son, who was there for her final show. “That’s good advertising,” Cody joked. This ...
As for Gap, well, it's valued at $9.6 billion. While some managers might shy away from getting caught up in details, former Apple board member Drexler runs toward them.
For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...
Due to its mascot, the Pop-Tarts Bowl has become one of the most infamous bowls in recent years.. However, the bowl is just in its second year under its current name and second location. The bowl ...