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  2. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    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.

  3. Triangular theory of love - Wikipedia

    en.wikipedia.org/wiki/Triangular_theory_of_love

    Multiple triangles can exist because individuals can experience each component of love (or point of the triangle) more intensely than another. These separate triangles, according to Acker and Davis and many others, are 'real' triangles, 'ideal' triangles, and 'perceived' triangles. [10]

  4. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    In this right triangle: sin A = a/h; cos A = b/h; tan A = a/b. Trigonometric ratios are the ratios between edges of a right triangle. These ratios depend only on one acute angle of the right triangle, since any two right triangles with the same acute angle are similar. [31]

  5. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    The solution of triangles is the principal purpose of spherical trigonometry: given three, four or five elements of the triangle, determine the others. The case of five given elements is trivial, requiring only a single application of the sine rule. For four given elements there is one non-trivial case, which is discussed below.

  6. Stewart's theorem - Wikipedia

    en.wikipedia.org/wiki/Stewart's_theorem

    Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).

  7. An IHOP server fed a man facing homelessness. She says she ...

    www.aol.com/ihop-server-fed-man-facing-203159367...

    A Florida IHOP employee who was fired after serving a homeless man said she was offered her job back, according to local media. Victoria Hughes has worked at an IHOP restaurant in Lakeland, Fla ...

  8. Congruence (geometry) - Wikipedia

    en.wikipedia.org/wiki/Congruence_(geometry)

    The two triangles on the left are congruent. The third is similar to them. The last triangle is neither congruent nor similar to any of the others. Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles. The unchanged properties are called invariants.

  9. US nerve center to combat China and Russia global propaganda ...

    www.aol.com/us-nerve-center-combat-china...

    James Rubin, U.S. Special Envoy and Coordinator for the Global Engagement Center talks to local journalists in American Corner during a visit to Podgorica, Montenegro, April 10, 2023.