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  1. Let's draw ourselves a triangle.[1]
  2. If that angle becomes 0, we end up with a degenerate triangle.[1]
  3. Then we keep making that angle smaller and smaller and smaller all the way until we get a degenerate triangle.[1]
  4. So if you want this to be a real triangle, at x equals 4 you've got these points as close as possible.[1]
  5. triangle(30, 75, 58, 20, 86, 75); Description A triangle is a plane created by connecting three points.[2]
  6. A triangle is composed of three line segments.[3]
  7. To name a triangle we often use its vertices (the name of the endpoints).[3]
  8. When a triangle has three congruent sides, we call the triangle an equilateral triangle.[3]
  9. When a triangle has two congruent sides it is called an isosceles triangle.[3]
  10. It is usual to name each vertex of a triangle with a single capital (upper-case) letter.[4]
  11. Alternatively, the side of a triangle can be thought of as a line segment joining two vertices.[4]
  12. In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.[5]
  13. If ABC is a triangle, then it is denoted as ∆ABC, where A, B and C are the vertices of the triangle.[5]
  14. These angles are formed by two sides of the triangle, which meets at a common point, known as the vertex.[5]
  15. Let us say, ∠1, ∠2 and ∠3 are the interior angles of a triangle.[5]
  16. A vertex is a point where two or more curves, lines, or edges meet; in the case of a triangle, the three vertices are joined by three line segments called edges.[6]
  17. A triangle is usually referred to by its vertices.[6]
  18. Hence, a triangle with vertices a, b, and c is typically denoted as Δabc.[6]
  19. For example, a triangle in which all three sides have equal lengths is called an equilateral triangle while a triangle in which two sides have equal lengths is called isosceles.[6]
  20. At the time, Orlando was still dating Katy Perry, so the blogs were quick to call the whole thing a messy love triangle.[7]
  21. The dim-witted buffoon of commedia dell’arte, pining for his Columbine but outwitted by Harlequin, became the formula for the classic love triangle in opera and theater.[7]
  22. The famous love triangle between Prince Charles, Princess Diana, and Camilla Parker Bowles has been re-created for Season 4 of The Crown.[7]
  23. There was a close up of one of the band members who was playing the triangle.[7]
  24. In this article, we are going to learn about the simplest form of a polygon, a triangle .[8]
  25. As the name suggests, the triangle is a polygon that has three angles.[8]
  26. This is called the angle sum property of a triangle.[8]
  27. In a right-angled triangle, ∆ABC, BC = 26 units and AB = 10 units.[8]
  28. In Geometry, a triangle is the most important shape, defined as a closed two-dimensional diagram containing 3 sides, 3 angles and 3 vertices.[9]
  29. However, sometimes it's hard to find the height of the triangle.[10]
  30. There are a few methods of obtaining right triangle side lengths.[11]
  31. 461 (Volume LIII, Number 11), Quadrant Magazine Limited, page 104: One of the writers' most pleasing inventions was to treat the triangle love story as comedy.[12]
  32. A draughtsman's square in the form of a right-angled triangle.[12]
  33. How Does One Cut a Triangle?[13]
  34. Triangle provides skilled intermediaries across the United Kingdom to enable communication with children and young people up to the age of 30.[14]
  35. (15 of the Triangle team are also Witness Intermediaries registered with the Ministry of Justice).[14]
  36. The site's critics' consensus reads: "Triangle sails into some strange waters, but this intelligent, well-acted horror outing anchors its idiosyncrasies in a satisfyingly scary story.[15]
  37. Acute-angled triangle An acute triangle has all its internal angles as acute( i.e.. less than 90°).[16]
  38. Obtuse-angled triangle An obtuse triangle has one of its internal angles as obtuse ( i.e.. greater than 90°).[16]
  39. If all the three sides of a triangle are equal, it is called an equilateral triangle.[16]
  40. In the given triangle, all three sides are equal in length.[16]
  41. If two of its sides are equal, a triangle is called isosceles.[17]
  42. A triangle with all three equal sides is called equilateral.[17]
  43. As regard the angles, a triangle is equiangular if all three of its angles are equal.[17]
  44. Euclid showed that in an isosceles triangle the base angles are equal and, conversely, the sides opposite equal angles are equal.[17]
  45. A triangle with vertices A, B, and C is denoted △ A B C {\displaystyle \triangle ABC} .[18]
  46. In Euclidean geometry , any three points, when non- collinear , determine a unique triangle and simultaneously, a unique plane (i.e. a two-dimensional Euclidean space ).[18]
  47. In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane.[18]
  48. An equilateral triangle is also a regular polygon with all angles measuring 60°.[18]
  49. An isosceles triangle can be drawn in many different ways.[19]
  50. A right-angled triangle has one 90° angle.[19]
  51. That 90° angle is shown as a small square where two sides of the triangle join.[19]
  52. It is possible for a triangle to be a right-angled triangle and an isosceles triangle at the same time.[19]
  53. Interestingly, the triangle is the only rigid polygon formed out of straight line segments, meaning that if the three lengths of the sides are given, the measurements correspond to a unique triangle.[20]
  54. Because of this, it is often possible, given some information about a triangle (e.g. some side lengths and some angles), to determine additional facts about the triangle.[20]
  55. The Triangle shape tool offers a handle on the shape and options on the context toolbar to enable the triangle to be modified.[21]
  56. A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon.[22]
  57. Every triangle has three sides and three angles, some of which may be the same.[22]
  58. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs.[22]
  59. The study of triangles is sometimes known as triangle geometry, and is a rich area of geometry filled with beautiful results and unexpected connections.[22]

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