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  • You can use the olympiad package to create nice marks for the angles. There also exists a command called rightanglemark to create a right angle.
    2 KB (313 words) - 01:23, 6 March 2019
  • 28 bytes (3 words) - 18:40, 8 March 2014
  • ...gle, <math>\angle BAC</math> and <math>\angle CAD</math> are complementary angles to each other. Either of two angles whose sum is <math>90^{\circ}</math>
    1 KB (207 words) - 08:57, 7 June 2023
  • 18 bytes (2 words) - 14:39, 8 May 2021
  • ...a multiple of <math>360^{\circ} = 2\pi \, \mathrm{rad}</math>. Coterminal angles are equivalent in the [[plane]] and share the same values of all [[Trigonom
    312 bytes (43 words) - 13:26, 12 March 2022
  • ...by two intersecting lines. By the [[Vertical Angle Theorem]], all vertical angles are equal.
    151 bytes (21 words) - 18:04, 4 September 2024
  • '''Directed Angles''' is a method to express [[angles]] that can be very useful in angle chasing problems where there are configu ...appear in clockwise order, and '''negative''' otherwise, then we take the angles modulo <math>180^{\circ}</math> (or modulo <math>\pi</math>).
    4 KB (657 words) - 20:52, 25 December 2024

Page text matches

  • ...eralization of the [[Pythagorean Theorem]]. The Theorem states that in a [[right triangle]] with sides of length <math>a \leq b \leq c</math> we have <math> ...y]]: <math>\frac{\sin{A}+\sin{B}+\sin{C}}{3}\le \sin{\left(\frac{A+B+C}{3}\right)}=\frac{\sqrt{3}}{2}</math>
    7 KB (1,300 words) - 01:11, 28 October 2024
  • [[Image:Acute_orthic_triangle.png|thumb|right|300px|Case 1: <math>\triangle ABC</math> is acute.]] [[Image:Obtuse_orthic_triangle.png|thumb|right|300px|Case 2: <math>\triangle ABC</math> is obtuse.]]
    8 KB (1,408 words) - 09:39, 10 July 2024
  • {{asy image|<asy>draw((0,1)--(2,0)--(3,2)--cycle);</asy>|right|A triangle}} ...quiangular]]. Note that all equilateral triangles are [[similar]]. All the angles of equilateral triangles are <math>60^{\circ}</math>
    4 KB (535 words) - 18:58, 31 January 2025
  • Because angles <math>\angle ADB</math> and <math>\angle CDA</math> are [[supplementary]], <math>D: \left(0, \frac{n}{m+n},\frac{m}{m+n}\right)</math>
    4 KB (709 words) - 19:22, 18 February 2025
  • |right|A circle}} ...of a diameter and a third distinct point on the circle as the vertex is a right angle.
    9 KB (1,510 words) - 19:56, 16 January 2025
  • ...hich all [[edge|sides]] have equal length and all [[angle | angles]] are [[right angle]]s.
    1 KB (170 words) - 18:31, 3 September 2024
  • ...h>BAP </math> and <math>BDC </math> are similar, this would imply that the angles <math>BAC </math> and <math>BDC </math> are [[congruent]], i.e., that <math
    3 KB (602 words) - 09:01, 7 June 2023
  • ...r irregular. A polygon is regular if all sides are the same length and all angles are [[congruent]]. == Angles in Polygons ==
    2 KB (372 words) - 19:04, 30 May 2015
  • In the case that one of the angles has measure <math>90^\circ</math> (is a [[right angle]]), the corresponding statement reduces to the [[Pythagorean Theorem] ===Right Triangle===
    6 KB (1,003 words) - 00:02, 20 May 2024
  • ...but once we get to <math> k > n-1 </math>, we start getting [[coterminal]] angles. ...ht) + i\sin\left(\frac{2\pi k}n\right) = \mathrm{cis }\left(\frac{2\pi k}n\right). </math>
    3 KB (558 words) - 21:36, 11 December 2011
  • ...le bisector of one angle and the external angle bisectors of the other two angles all intersect at an [[excenter]] of the triangle.
    3 KB (575 words) - 15:27, 19 March 2023
  • ...f cosines]] and the [[law of tangents]] can be used to determine sides and angles. The law of sines can also be used to determine the [[circumradius]], anoth ...le BOD = \angle COD = \theta </math>. We can use simple trigonometry in [[right triangle]] <math> \triangle BOD </math> to find that
    4 KB (658 words) - 21:52, 4 February 2025
  • ...initely, meet on that side on which are the angles less than the two right angles.''
    3 KB (478 words) - 01:52, 25 August 2024
  • Drawing the [[apothem]] creates two [[right triangle]]s, each with an [[angle]] of <math>\frac{180}{n}^{\circ}</math> a <math>K = \frac1{2}\sqrt{a^2 c^2 - \left(\frac{a^2 + c^2 - b^2}{2}\right)^2} </math>
    7 KB (1,185 words) - 20:48, 25 November 2024
  • '''Trigonometry''' is the study of relations between the side lengths and angles of triangles through the '''trigonometric functions'''. It is a fundamental ...ned in several equivalent ways. The definition usually taught first is the right triangle definition, for its ease of access. An intermediate to olympiad ge
    8 KB (1,228 words) - 15:40, 10 January 2025
  • 2 KB (381 words) - 19:38, 24 November 2011
  • A '''rectangle''' is a [[quadrilateral]] in which all [[angle]]s are [[right angle]]s.
    782 bytes (108 words) - 13:36, 6 March 2022
  • * Consecutive angles are [[supplementary]].
    910 bytes (122 words) - 21:48, 13 November 2024
  • * If all of a rhombus' [[angle]]s are [[right angle]]s, then the rhombus is a [[square (geometry) | square]]. ...<math>\angle B\cong\angle D</math>. The same can be done for the two other angles, so <math>\angle A\cong\angle C</math>.
    3 KB (490 words) - 15:30, 22 February 2024
  • 784 bytes (122 words) - 13:09, 22 July 2024

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