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Right triangle overview

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Right triangle

Scalene triangle overview

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Scalene triangle
Law of Sines: Sine law
Law of Cosines: Cosine law
For any angle:
The area (A) of a triangle is also equal to half the base multiply by the height
A=1/2 ah

Area of a triangle (A) described by the angles is:

A=ab/2 sin⁡〖γ=ac/2 sin⁡β=bc/2 sin⁡α

Area by Heron's formula:
A=√(s(s-a)(s-b)(s-c) )
Where s is half the perimeter
s=1/2 (a+b+c)

A=1/4 √((a+b+c)(a+b-c)(a-b+c)(-a+b+c) )
Triangle inequality:
a<b+c b<a+c c<a+b

Right, isosceles and equilateral triangle table

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Similar triangles

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Triangle circumcircle

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Angles bisectors and incircle

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Triangle medians

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Triangle altitudes

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Ceva's theorem

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