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  2. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    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 ...

  3. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

  4. Word problem (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics)

    The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]

  5. Kepler triangle - Wikipedia

    en.wikipedia.org/wiki/Kepler_triangle

    The only triangles for which this is true are the Kepler triangles. [13] [14] A third, equivalent way of defining this triangle comes from a problem of maximizing the inradius of isosceles triangles. Among all isosceles triangles with a fixed choice of the length of the two equal sides but with a variable base length, the one with the largest ...

  6. List of triangle topics - Wikipedia

    en.wikipedia.org/wiki/List_of_triangle_topics

    This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space.

  7. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).

  8. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    There are no Pythagorean triangles in which the hypotenuse and one leg are the legs of another Pythagorean triangle; this is one of the equivalent forms of Fermat's right triangle theorem. [12]: p. 14 Each primitive Pythagorean triangle has a ratio of area, K, to squared semiperimeter, s, that is unique to itself and is given by [22]

  9. Word problem - Wikipedia

    en.wikipedia.org/wiki/Word_problem

    Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations; Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science; Word problem for groups, the problem of recognizing the identity element ...