Calculate Angle, Length and Distance of the Legs
Calculator for angle, legs length and distance of the two legs at their end. Each of these values can be calculated from the other ones. Enter three values to get the fourth. When calculating the length of leg a or b, there are zero, one or two solutions. If there isn't a solution, Error will be displayed. For two solutions, the larger one will be shown at the top, the smaller one at the bottom as alternative length.
Example: you have an angle of thirty degrees. The leg a has a length of five, the distance c is seven. There are then two possibilities for the length of leg b: 10.868 and 2.208.
This calculation is a limited calculation of a triangle from sides and angles. For the comprehensive calculations in a triangle, for example for the other two angles, see Triangle Calculator. Here you can convert radian into degrees.
A calculation is not possible if both legs a and b together are shorter than the distance c. Two values for one of the two legs are obtained if the angle γ is given and the distance c is smaller than the length of the given leg. If the three lengths a, b and c are specified, the calculation is carried out according to the cosine theorem; if two lengths and the angle γ are specified, the calculation is carried out according to the sine theorem. If the distance line c should be perpendicular to the bisector of the legs, then both legs a and b must be the same length. For example, a compass has two equal-length legs, with the distance c corresponding to the radius of the circle to be drawn. An example of such a calculation with two legs of different lengths is a dormer with a straight roof. The distance between these two legs (actually areas) determines the space gained below the roof by the dormer.