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  2. Base (geometry) - Wikipedia

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

    The extended base of a triangle (a particular case of an extended side) is the line that contains the base. When the triangle is obtuse and the base is chosen to be one of the sides adjacent to the obtuse angle, then the altitude dropped perpendicularly from the apex to the base intersects the extended base outside of the triangle.

  3. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    ASA: Two interior angles and the side between them in a triangle have the same measure and length, respectively, as those in the other triangle. (This is the basis of surveying by triangulation.) SSS: Each side of a triangle has the same length as the corresponding side of the other triangle.

  4. Two Figures - Wikipedia

    en.wikipedia.org/wiki/Two_Figures

    Below it, just below ½ the height of the figure, is a slightly smaller hole that only goes about halfway through the bronze in a cylindrical fashion. This hole is lined with a bright blue paint. PL bows gently outward from its base and reaches a maximum width at approximately the height of PR’s upper hole, two thirds of the height of PL.

  5. Altitude (triangle) - Wikipedia

    en.wikipedia.org/wiki/Altitude_(triangle)

    This (finite) edge and (infinite) line extension are called, respectively, the base and extended base of the altitude. The point at the intersection of the extended base and the altitude is called the foot of the altitude. The length of the altitude, often simply called "the altitude" or "height", symbol h, is the distance between the foot and ...

  6. Area of a triangle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_triangle

    The term "base" denotes any side, and "height" denotes the length of a perpendicular from the vertex opposite the base onto the line containing the base. Euclid proved that the area of a triangle is half that of a parallelogram with the same base and height in his book Elements in 300 BCE. [ 1 ]

  7. Decagon - Wikipedia

    en.wikipedia.org/wiki/Decagon

    An alternative formula is = where d is the distance between parallel sides, or the height when the decagon stands on one side as base, or the diameter of the decagon's inscribed circle. By simple trigonometry ,