Problem of finding unknown lengths and angles of a triangle
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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Solutionoftriangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths...
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...
Proofs of trigonometric identities Pythagorean trigonometric identity Tangent half-angle formula Solutionoftriangles Law of sines Law of cosines Law of tangents...
equilateral triangles isosceles triangles. The 45–45–90 right triangle, which appears in the tetrakis square tiling, is isosceles. A scalene triangle (Greek:...
are given. The theorem is used in solutionoftriangles, i.e., to find (see Figure 3): the third side of a triangle if two sides and the angle between...
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...
journal of semiotics Super Soft Source or Super soft X-ray source Omega baryon (Ω−), with a quark content of sss Side-side-side, solutionoftriangles with...
Congruence oftriangles may refer to: Congruence (geometry)#Congruence oftrianglesSolutionoftriangles This disambiguation page lists articles associated...
classification of shapes was used as a satire of social hierarchy: isosceles triangles represented the working class, with acute isosceles triangles higher in...
rational solutionsof the above equation) are sometimes also called Heronian triangles or rational triangles; in this article, these more general triangles will...
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...
In trigonometry, a skinny triangle is a triangle whose height is much greater than its base. The solutionof such triangles can be greatly simplified...
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 oftriangles involving area", Mathematical...
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...
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...
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...
equilateral triangles are constructed on the sides of any triangle, either all outward, or all inward, the centers of those equilateral triangles themselves...
The concept of included angle is discussed at: Congruence oftrianglesSolutionoftriangles This disambiguation page lists mathematics articles associated...
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...
combining two triangles to form a quadrilateral, then splitting the quadrilateral in the other direction to produce two new triangles. Flipping is used...
number of black triangles. It is NP-complete to decide whether a given Shakashaka puzzle has a solution. Furthermore, counting the number ofsolutions to...
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...
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...