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Solution of triangles information


Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation.

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Solution of triangles

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Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths...

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Spherical trigonometry

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be restricted to spherical triangles, referred to simply as triangles. Both vertices and angles at the vertices of a triangle are denoted by the same upper...

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Outline of trigonometry

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Proofs of trigonometric identities Pythagorean trigonometric identity Tangent half-angle formula Solution of triangles Law of sines Law of cosines Law of tangents...

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Triangle

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equilateral triangles isosceles triangles. The 45–45–90 right triangle, which appears in the tetrakis square tiling, is isosceles. A scalene triangle (Greek:...

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Law of cosines

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are given. The theorem is used in solution of triangles, i.e., to find (see Figure 3): the third side of a triangle if two sides and the angle between...

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Law of sines

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when two separate triangles can be constructed from the data provided (i.e., there are two different possible solutions to the triangle). In the case shown...

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List of triangle topics

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Uses of trigonometry De Finetti diagram Triangle mesh Nonobtuse mesh Encyclopedia of Triangle Centers Pythagorean Triangles The Secrets of Triangles Triangular...

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SSS

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journal of semiotics Super Soft Source or Super soft X-ray source Omega baryon (Ω−), with a quark content of sss Side-side-side, solution of triangles with...

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Congruence of triangles

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Congruence of triangles may refer to: Congruence (geometry)#Congruence of triangles Solution of triangles This disambiguation page lists articles associated...

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Isosceles triangle

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classification of shapes was used as a satire of social hierarchy: isosceles triangles represented the working class, with acute isosceles triangles higher in...

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Heronian triangle

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rational solutions of the above equation) are sometimes also called Heronian triangles or rational triangles; in this article, these more general triangles will...

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Additional Mathematics

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high-school (or GCSE exam takers in the United Kingdom). It features a range of problems set out in a different format and wider content to the standard Mathematics...

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Skinny triangle

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In trigonometry, a skinny triangle is a triangle whose height is much greater than its base. The solution of such triangles can be greatly simplified...

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Right triangle

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a+b+c=r+r_{a}+r_{b}+r_{c}.} Acute and obtuse triangles (oblique triangles) Spiral of Theodorus Di Domenico, Angelo S., "A property of triangles involving area", Mathematical...

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Spherical law of cosines

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trigonometry, the law of cosines (also called the cosine rule for sides) is a theorem relating the sides and angles of spherical triangles, analogous to the...

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Integer triangle

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only such triangles are rational-sided equilateral triangles. Any triple of positive integers can serve as the side lengths of an integer triangle as long...

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Weber problem

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respect to triangles △ACD, △BCD; This leads to draw two other equilateral triangles △ACF, △BCG, where F, G are located outside the △ABC triangle, as well...

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Equilateral triangle

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equilateral triangles are constructed on the sides of any triangle, either all outward, or all inward, the centers of those equilateral triangles themselves...

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Included angle

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The concept of included angle is discussed at: Congruence of triangles Solution of triangles This disambiguation page lists mathematics articles associated...

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Special right triangle

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special right triangles are specified by the relationships of the angles of which the triangle is composed. The angles of these triangles are such that...

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Types of mesh

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combining two triangles to form a quadrilateral, then splitting the quadrilateral in the other direction to produce two new triangles. Flipping is used...

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Shakashaka

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number of black triangles. It is NP-complete to decide whether a given Shakashaka puzzle has a solution. Furthermore, counting the number of solutions to...

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Missing square puzzle

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right-angled triangle, but one has a 1×1 hole in it. The key to the puzzle is the fact that neither of the 13×5 "triangles" is truly a triangle, nor would...

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Pythagorean theorem

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right side, the triangles are placed such that the corners of the square correspond to the corners of the right angle in the triangles, forming a square...

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Kobon triangle problem

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lines, 2 triangles 5 lines, 5 triangles 6 lines, 7 triangles 7 lines, 11 triangles Roberts's triangle theorem, on the minimum number of triangles that n...

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