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. Using our trapezoid bisector calculator, you can easily find the bisector and adjacent angles of a trapezoid with just a few clicks.

How to Find the Bisector of a Trapezoid

To find the bisector in a trapezoid, you'll need to know the lateral side of the trapezoid and the angle with a larger base. The bisector is calculated according to a similar principle used to calculate the bisector of a parallelogram.

l = 2acos(\frac{\alpha}{2})Where:

• l - is a bisector of the trapezoid
• a - trapezoid side
• α - the angle with a larger base

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 each rectangular triangle 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.

Using the Trapezoid Bisector Calculator

Our online trapezoid bisector calculator uses this formula to calculate the bisector of a trapezoid. Simply enter the length of the lateral side and the angle with the larger base, and our tool will do the rest. You can also use our step-by-step instructions and formula to manually calculate the bisector and adjacent angles. Our calculator is easy to use and will give you quick and accurate results. Try it now!