![]() ![]() The "show/hide solution" button would be available to you after the calculator has processed your input. SolutionsĪs mentioned earlier, the calculator won't just tell you the answer but also the steps you can follow to do the calculation yourself. If you would like to see an example of the calculator's working, just click the "example" button. Whole numbers or decimals → 2 \hspace 180°.The inputs themselves must be non-negative real numbers and can be in any format - integers, decimals, fractions, or even mixed numbers. "Triangle Properties.The triangle calculator requires exactly three of the six inputs - one side-length and any two of the remaining inputs. Radius of circumscribed circle around triangle, R = (abc) / (4K) References/ Further ReadingĬRC Standard Mathematical Tables and Formulae, 31st Edition New York, NY: CRC Press, p. 512, 2003. Radius of inscribed circle in the triangle, r = √ Triangle semi-perimeter, s = 0.5 * (a + b + c) Solving, for example, for an angle, A = cos -1 If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively then the law of cosines states:Ī 2 = c 2 + b 2 - 2bc cos A, solving for cos A, cos A = ( b 2 + c 2 - a 2 ) / 2bcī 2 = a 2 + c 2 - 2ca cos B, solving for cos B, cos B = ( c 2 + a 2 - b 2 ) / 2caĬ 2 = b 2 + a 2 - 2ab cos C, solving for cos C, cos C = ( a 2 + b 2 - c 2 ) / 2ab Solving, for example, for an angle, A = sin -1 Law of Cosines If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively then the law of sines states: You could also use the Sum of Angles Rule to find the final angle once you know 2 of them. Use The Law of Cosines to solve for the angles. Given the sizes of the 3 sides you can calculate the sizes of all 3 angles in the triangle. Use the Sum of Angles Rule to find the last angle SSS is Side, Side, Side Use The Law of Cosines to solve for the remaining side, bĭetermine which side, a or c, is smallest and use the Law of Sines to solve for the size of the opposite angle, A or C respectively. Given the size of 2 sides (c and a) and the size of the angle B that is in between those 2 sides you can calculate the sizes of the remaining 1 side and 2 angles. Sin(A) a/c, there are no possible trianglesĮrror Notice: sin(A) > a/c so there are no solutions and no triangle! use The Law of Sines to solve for the last side, bįor A a/c, there are no possible triangles.".use the Sum of Angles Rule to find the other angle, B. ![]()
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