Oblique Triangle
Oblique triangle equations
An oblique triangle is any triangle that is not a right angled triangle.
A, B and a is known, calculate
b = a sin(B) / sin(A) (1a)
C = 180o - (A + B) (1b)
c = a sin(C) / sin(A) (1c)
A, a and b is known, calculate
sin(B) = b sin(A) / a (2a)
C = 180o - (A + B) (2b)
c = a sin(C) / sin(A) (2c)
a, b and C is known, calculate
tan(A) = a sin(C) / (b - a cos(C)) (3a)
B= 180o - (A + C) (3b)
c = a sin(C) / sin(A) (3c)
a, b and c is known, calculate
cos(A) = (b2 + c2 - a2) / (2 b c) (4a)
cos(B)= (a2 + c2 - b2) / (2 a c) (4b)
C = 180o - (A + B) (4c)
a, b, c, A, B and C is known, calculate area
s = (a + b + c) / 2 (5a)
area = (s (s - a) (s- b) (s - c))1/2 (5b)
area = b c sin(A) / 2 (5c)
area = a2 sin(B) sin(C) / (2 sin(A)) (5d)
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