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2. Special right triangle - Wikipedia

   en.wikipedia.org/wiki/Special_right_triangle

   Set square shaped as 45° - 45° - 90° triangle The side lengths of a 45° - 45° - 90° triangle 45° - 45° - 90° right triangle of hypotenuse length 1.. In plane geometry, dividing a square along its diagonal results in two isosceles right triangles, each with one right angle (90°, ⁠ π / 2 ⁠ radians) and two other congruent angles each measuring half of a right angle (45°, or ...

3. Ailles rectangle - Wikipedia

   en.wikipedia.org/wiki/Ailles_rectangle

   Drawing a line connecting the original triangles' top corners creates a 45°–45°–90° triangle between the two, with sides of lengths 2, 2, and (by the Pythagorean theorem) . The remaining space at the top of the rectangle is a right triangle with acute angles of 15° and 75° and sides of 3 − 1 {\displaystyle {\sqrt {3}}-1} , 3 + 1 ...

4. Solution of triangles - Wikipedia

   en.wikipedia.org/wiki/Solution_of_triangles

   If D > 1, no such triangle exists because the side b does not reach line BC. For the same reason a solution does not exist if the angle β ≥ 90° and b ≤ c. If D = 1, a unique solution exists: γ = 90°, i.e., the triangle is right-angled. If D < 1 two alternatives are possible. If b ≥ c, then β ≥ γ (the larger side corresponds to a ...

5. Lists of uniform tilings on the sphere, plane, and hyperbolic ...

   en.wikipedia.org/wiki/Lists_of_uniform_tilings...

   Special cases are right triangles (p q 2). Uniform solutions are constructed by a single generator point with 7 positions within the fundamental triangle, the 3 corners, along the 3 edges, and the triangle interior. All vertices exist at the generator, or a reflected copy of it. Edges exist between a generator point and its image across a mirror.

6. File:45° 45° 90° Special Right Triangle.svg - Wikipedia

   en.wikipedia.org/wiki/File:45°_45°_90°_Special...

   English: This file illustrates the special right triangle of angles 45°, 45° and 90°. Inside, the triangle is depicted with all of its angles and side lengths. The right angle is marked as a small square. To the right of the 90° angle is another angle represented by an arc, and its measure, 45°, is written to the left of it. Atop the right ...

7. Polyform - Wikipedia

   en.wikipedia.org/wiki/Polyform

   For example, a square basic ... Polyforms are a rich source of problems, puzzles and games. ... (45°-45°-90°) triangle: Kisquadrille: polyabolo: Tangrams: 4 ...