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  2. Isosceles triangle - Wikipedia

    en.wikipedia.org/wiki/Isosceles_triangle

    In geometry, an isosceles triangle (/ aɪ ˈ s ɒ s ə l iː z /) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

  3. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    An equilateral triangle base and three equal isosceles triangle sides It gives 6 isometries, corresponding to the 6 isometries of the base. As permutations of the vertices, these 6 isometries are the identity 1, (123), (132), (12), (13) and (23), forming the symmetry group C 3v , isomorphic to the symmetric group , S 3 .

  4. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. [7]

  5. Incenter - Wikipedia

    en.wikipedia.org/wiki/Incenter

    The Euler line of a triangle is a line passing through its circumcenter, centroid, and orthocenter, among other points. The incenter generally does not lie on the Euler line; [16] it is on the Euler line only for isosceles triangles, [17] for which the Euler line coincides with the symmetry axis of the triangle and contains all triangle centers.

  6. Equilateral triangle - Wikipedia

    en.wikipedia.org/wiki/Equilateral_triangle

    An equilateral triangle is a triangle that has three equal sides. It is a special case of an isosceles triangle in the modern definition, stating that an isosceles triangle is defined at least as having two equal sides. [1] Based on the modern definition, this leads to an equilateral triangle in which one of the three sides may be considered ...

  7. Triangle center - Wikipedia

    en.wikipedia.org/wiki/Triangle_center

    In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example, the centroid , circumcenter , incenter and orthocenter were familiar to the ancient Greeks , and can be obtained by simple constructions .

  8. Will 2025 be a better year to buy a house? - AOL

    www.aol.com/2025-better-buy-house-201345421.html

    Online real estate marketplace Zillow says mortgage rates will fall, but only moderately. Alongside persistently high mortgage rates, experts predicted a continued, albeit slower, rise in home prices.

  9. Kite (geometry) - Wikipedia

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

    A kite and its dual isosceles trapezoid. Kites and isosceles trapezoids are dual to each other, meaning that there is a correspondence between them that reverses the dimension of their parts, taking vertices to sides and sides to vertices. From any kite, the inscribed circle is tangent to its four sides at the four vertices of an isosceles ...