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  2. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle. A primitive Pythagorean triple is one in which a, b and c are coprime (that is, they have no common divisor larger than 1). [1] For example, (3, 4, 5) is a primitive Pythagorean triple whereas (6, 8, 10) is not.

  3. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    The Kepler triangle is a right triangle whose sides are in geometric progression. If the sides are formed from the geometric progression a, ar, ar 2 then its common ratio r is given by r = √ φ where φ is the golden ratio. Its sides are therefore in the ratio 1 : √ φ : φ. Thus, the shape of the Kepler triangle is uniquely determined (up ...

  4. List of two-dimensional geometric shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_two-dimensional...

    Triangle – 3 sides Acute triangle; Equilateral triangle; Heptagonal triangle; Isosceles triangle. Golden Triangle; Obtuse triangle; Rational triangle; Heronian triangle. Pythagorean triangle; Isosceles heronian triangle; Primitive Heronian triangle; Right triangle. 30-60-90 triangle; Isosceles right triangle; Kepler triangle; Scalene triangle ...

  5. 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).

  6. Category:Types of triangles - Wikipedia

    en.wikipedia.org/wiki/Category:Types_of_triangles

    Special right triangle; Spherical triangle; T. Trilliant cut This page was last edited on 6 January 2022, at 06:29 (UTC). Text is available under the Creative ...

  7. Equable shape - Wikipedia

    en.wikipedia.org/wiki/Equable_shape

    A two-dimensional equable shape (or perfect shape) is one whose area is numerically equal to its perimeter. [1] For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30.

  8. ‘Alcohol gene’ could predict how cocktails may affect you ...

    www.aol.com/alcohol-gene-could-predict-cocktails...

    If you have an inherited intolerance to alcohol, a mutated gene could be the culprit. An at-home DNA test could detect whether you have the mutation, but doctors say there could be some drawbacks.

  9. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    There is a method to construct all Pythagorean triples that contain a given positive integer x as one of the legs of the right-angled triangle associated with the triple. It means finding all right triangles whose sides have integer measures, with one leg predetermined as a given cathetus. [13] The formulas read as follows.

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