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important Triangles Formulas



The power triangle explains the relationship between real, reactive and apparent power. The figure below displays the triangle:
Maths made Fun!, Share with your Friends and Teach Everyone the easy ways of Solving, Right-Angled Triangle Formula. 
I - We know the 3 sides (a, b, c)
P=(a+b+c)/2
TAN(A/2)=RACINE((p-b)*(p-c)/p*(p-a))
a/SIN(A)=b/SIN(B)=c/SIN©=2R

S=RACINE(p*(p-a)*(p-b)*(p-c))

II - We know 1 angle and 2 Adjacent sides (b, c, A)
a^2=B^2+C^2-2*b*c*COSA

TAN(B-C)/2=(b-c)/(b+c)*COT(A/2)
S=1/2a*b*SIN(C )=abc/4R=rP

A+B+C=200


III -2 angle and the common side (B, C, a)
A=200-B-C


S=1/2*a^2*SIN(B)*SIN(C)/SIN(B+C)

IV -1 angle and 2 sides (A, a, c)
a/SINA=b/SINB=c/SINC

C=200-ASIN(c*SINA/a)

b=aSINB/SIN(B+C)

S=1/2*c^2*(SINA*SINB)/SIN(A+B)