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Altitude of a triangle

The altitude of a triangle is the distance from a vertex perpendicular to the opposite side. There is a relation between the altitude and the sides of the ... more

2nd medians' theorem

Relates the projection of a median and the sides of an arbitrary triangle

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Ceva's theorem (lines from vertices to the opposite sides of a triangle)

Ceva’s theorem is a theorem about triangles in Euclidean plane geometry. Given a triangle ABC, let the lines AO, BO and CO ... more

Stewart's Theorem

Stewart’s theorem yields a relation between the length of the sides of the triangle and the length of a cevian of the triangle. A cevian is any line ... more

Menelaus' theorem ( transversal line passes inside triangle )

Menelaus’ theorem, named for Menelaus of Alexandria, is a theorem about triangles in plane geometry. Given a triangle ABC, ... more

Semiperimeter of a triangle

The semi sum of the length of a triangle’s sides

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1st medians' theorem - Apollonius' theorem

Relates the length of a median and the sides of an arbitrary triangle

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Area between a parabola and a chord

Parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped. The area enclosed between a parabola and a chord is two-thirds ... more

Stewart's Theorem ( for triangle's medians)

Stewart’s theorem yields a relation between the length of the sides of the triangle and the length of a cevian of the triangle. A cevian is any line ... more

Inradius of arbitrary triangle

The radius of the inscribed circle of an arbitrary triangle is related to the altitudes of the triangle

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