Some important formulas for triangle

Some important formula for triangle is given as follows:

Area of the triangle (A) can be calculated by of the following formulas, R is the Radius of the circle cicumscribing the triangle (bigger circle-Red one). Also the Sine formula can be used and with other angles B & C as well, replace  SinA with SinB or SinC and similarily b & c with a,c & b

Also the sides a, b, c and be easily obtained if the Angles A, B & C are known from the following problems

The cirucmradius R of the circle circumscribing the triangle is given as

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