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Overview
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Probably the most important geometric equations are the relationship between the angles and sides of a right angled triangle. Given any two variables the remaining values can be calculated.
See Also: Open Another, Using the Calculators
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Formula
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Known
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Required
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A
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B
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C
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a
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b
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A & B
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-
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-
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C = (A2 + B2)0.5
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a = arc tan( A / B )
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b = arc tan( B / A )
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A & C
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-
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B = (C2 - A2)0.5
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-
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a = arc sin( A / C )
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b = arc cos( A / C )
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A & b
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-
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B = A * tan( b )
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C = A / cos( b )
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a = 90º - b
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-
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A & a
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-
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B = A / tan( a )
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C = A / sin( a )
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-
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b = 90º - a
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B & C
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A = (C2 - B2)0.5
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-
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-
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a = arc cos( B / C )
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b = arc sin( B / C )
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B & b
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A = B / tan( b )
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-
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C = B / sin( b )
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a = 90º - b
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-
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B & a
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A = B * tan( a )
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-
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C = B / cos( a )
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-
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b = 90º - a
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C & b
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A = C * cos( b )
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B = C * sin( b )
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-
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a = 90º - b
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-
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C & a
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A = C * sin( a )
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B = C * cos( a )
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-
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-
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b = 90º - a
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Units
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A = Length (metre [m])
B = Length (metre [m])
C = Length (metre [m])
a = Angle (degree [º])
b = Angle (degree [º])
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Calculator
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Note! Set unit values prior to calculating.
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