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  2. Angle bisector theorem - Wikipedia

    en.wikipedia.org/wiki/Angle_bisector_theorem

    For the exterior angle bisectors in a non-equilateral triangle there exist similar equations for the ratios of the lengths of triangle sides. More precisely if the exterior angle bisector in A intersects the extended side BC in E, the exterior angle bisector in B intersects the extended side AC in D and the exterior angle bisector in C ...

  3. Exterior angle theorem - Wikipedia

    en.wikipedia.org/wiki/Exterior_angle_theorem

    The sides of a triangle (line segments) that come together at a vertex form two angles (four angles if you consider the sides of the triangle to be lines instead of line segments). [3] Only one of these angles contains the third side of the triangle in its interior, and this angle is called an interior angle of the triangle. [ 4 ]

  4. Bisection - Wikipedia

    en.wikipedia.org/wiki/Bisection

    An angle bisector divides the angle into two angles with equal measures. An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The 'interior' or 'internal bisector' of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

  5. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    An angle bisector of a triangle is a straight line through a vertex that cuts the corresponding angle in half. The three angle bisectors intersect in a single point, the incenter, which is the center of the triangle's incircle. The incircle is the circle that lies inside the triangle and touches all three sides. Its radius is called the inradius.

  6. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    For the spherical case, one can first compute the length of side from the point at α to the ship (i.e. the side opposite to β) via the ASA formula ⁡ = ⁡ ⁡ ⁡ (+) + ⁡ ⁡ (), and insert this into the AAS formula for the right subtriangle that contains the angle α and the sides b and d: ⁡ = ⁡ ⁡ = ⁡ + ⁡ ⁡. (The planar ...

  7. Concurrent lines - Wikipedia

    en.wikipedia.org/wiki/Concurrent_lines

    Perpendicular bisectors are lines running out of the midpoints of each side of a triangle at 90 degree angles. The three perpendicular bisectors meet at the circumcenter. Other sets of lines associated with a triangle are concurrent as well. For example: Any median (which is necessarily a bisector of the triangle's area) is concurrent with two ...

  8. The 3 Most Overpriced Cities in America, According to Gen Z ...

    www.aol.com/3-most-overpriced-cities-america...

    3 Things You Must Do When Your Savings Reach $50,000 These 11 Rare Coins Sold for Over $1 Million The 5 Most Expensive End-of-Year Money Mistakes, According to Financial Advisors

  9. List of triangle inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_triangle_inequalities

    The parameters most commonly appearing in triangle inequalities are: the side lengths a, b, and c;; the semiperimeter s = (a + b + c) / 2 (half the perimeter p);; the angle measures A, B, and C of the angles of the vertices opposite the respective sides a, b, and c (with the vertices denoted with the same symbols as their angle measures);