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  2. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    A triangle with sides a, b, and c. In geometry, Heron's formula (or Hero's formula) gives the area of a triangle in terms of the three side lengths ⁠, ⁠ ⁠, ⁠ ⁠. ⁠ Letting ⁠ ⁠ be the semiperimeter of the triangle, = (+ +), the area ⁠ ⁠ is [1]

  3. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, ...

  4. Simplex - Wikipedia

    en.wikipedia.org/wiki/Simplex

    The triangle is the 2-simplex, a simple shape that requires two dimensions. ... showing that this simplex has volume 1/n!. Alternatively, the volume can be computed ...

  5. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    In the case of a triangular prism, its base is a triangle, so its volume can be calculated by multiplying the area of a triangle and the length of the prism: , where b is the length of one side of the triangle, h is the length of an altitude drawn to that side, and l is the distance between the triangular faces. [9]

  6. Hyperpyramid - Wikipedia

    en.wikipedia.org/wiki/Hyperpyramid

    A normal triangle is a 2-dimensional hyperpyramid, ... 3 the formula above yields the standard formulas for the area of a triangle and the volume of a pyramid. References

  7. Volume - Wikipedia

    en.wikipedia.org/wiki/Volume

    Volume is a measure of regions in three-dimensional space. [1] It is often quantified numerically using SI derived units ... Low poly triangle mesh of a dolphin.

  8. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    The triangle angle sum theorem states that the sum of the three angles of any triangle, ... A sphere has 2/3 the volume and surface area of its circumscribing ...

  9. Pyramid (geometry) - Wikipedia

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

    Given that is the base's area and is the height of a pyramid, the volume of a pyramid is: [25] =. The volume of a pyramid was recorded back in ancient Egypt, where they calculated the volume of a square frustum, suggesting they acquainted the volume of a square pyramid. [26]