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2. Median (geometry) - Wikipedia

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

   The triangle medians and the centroid.. In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. . Every triangle has exactly three medians, one from each vertex, and they all intersect at the triangle's cent

3. Cevian - Wikipedia

   en.wikipedia.org/wiki/Cevian

   In geometry, a cevian is a line segment which joins a vertex of a triangle to a point on the opposite side of the triangle. [1] [2] Medians and angle bisectors are special cases of cevians. The name "cevian" comes from the Italian mathematician Giovanni Ceva, who proved a well-known theorem about cevians which also bears his name. [3]

4. Equilateral triangle - Wikipedia

   en.wikipedia.org/wiki/Equilateral_triangle

   An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral triangle is a regular polygon, occasionally known as the regular triangle. It is the special case of an isosceles triangle by modern definition, creating more special properties.

5. Ceva's theorem - Wikipedia

   en.wikipedia.org/wiki/Ceva's_theorem

   The first one is very elementary, using only basic properties of triangle areas. [3] However, several cases have to be considered, depending on the position of the point O. The second proof uses barycentric coordinates and vectors, but is somehow [vague] more natural and not case dependent. Moreover, it works in any affine plane over any field.

6. 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]

7. Midpoint theorem (triangle) - Wikipedia

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

   The converse of the theorem is true as well. That is if a line is drawn through the midpoint of triangle side parallel to another triangle side then the line will bisect the third side of the triangle. The triangle formed by the three parallel lines through the three midpoints of sides of a triangle is called its medial triangle.