Trapezoid bisector calculator

A bisector is a ray emanating from the top of an angle and dividing this angle into two equal angles. You can also define the bisector as the geometrical location of the points inside the corner equidistant from the sides of this angle.

Quadrangle — in which two sides are parallel and the other two sides are not parallel is called a trapezoid. Parties that are not parallel are called the sides of the trapezoid.

The trapezoid is a figure with two parallel bases. Knowing the lateral side of the trapezoid and the angle with a larger base, you can find its bisector. In this indispensable assistant will be a parallelogram in which the bisector is calculated according to a similar principle. If we consider the bisector as a secant with parallel bases, then the equality of the internal crosswise lying angles proves that the triangle formed by this construction is isosceles. The bisector drawn from the adjacent angle is simultaneously the height of the triangle, dividing it into two rectangular congruent triangles, the leg of which is half the bisector, the hypotenuse is the side of the trapezoid, and the angle between the leg and hypotenuse is half the angle at the base of the trapezoid. Therefore, the bisector will be equal to twice the product of the side on the cosine of half the angle α.