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English: This file illustrates the special right triangle of angles 30°, 60° and 90°. A black square represents the borders of the file. Inside, the triangle is depicted with all of its special angles. The right angle is symbolized by a small square, and its measure, 90°, is written to the right and above it.
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one ...
Français : Ce fichier illustre le triangle particulier d'angles 45°, 45° et 90°. Dans celui-ci, le triangle est représenté avec tous ses angles et ses longueurs. L'angle droit est marqué d'un petit carré. À droite de l'angle droit, il y a un angle symbolisé par un arc, et sa mesure, 45°, est inscrite à gauche de l'arc.
You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
The fact that the triangle with these proportions is a right triangle follows from the fact that, for squared edge lengths with these proportions, the defining polynomial of the golden ratio is the same as the formula given by the Pythagorean theorem for the squared edge lengths of a right triangle: = +