Trapezoid Height Calculator | How to Find Trapezoid Height

Height in geometry - a segment of a perpendicular dropped from the top of a geometric figure to its base or to the continuation of the base. By height is also meant the length of this segment.

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.

Are you struggling to find the height of a trapezoid? Look no further than our Trapezoid Height Calculator! This free tool can help you quickly and easily calculate the height of a trapezoid.

Trapezoid Height Formulas

To calculate the height of a trapezoid, you can use the following formulas:

Through sides

The height of trapezoid can be found by its sides, since by drawing diagonal in the trapezoid we get a right triangle, then expressing the sides of the triangles with the sides of the trapezoid we get the formula above.

h = \sqrt{a^2 - \left( \dfrac{(d-b)^2+a^2-c^2}{2(d-b)} \right)^2}

where h is the height of your trapezoid, a and c are the lengths of the sides, and b, d are the lengths of the bases of your trapezoid.

Through midline and area

The height of trapezoid is equal to its area divided by the middle line.

h = \dfrac{S}{m}

where S is the area of your trapezoid, and m is the midline.

Through the area and bases

h = 2 * \dfrac{S}{b+d}

Step-by-Step Process: How to Find Trapezoid Height

1. Measure the length of the bottom base (d) and the top base (b) of the trapezoid.
2. Measure the sides (a,c) of the trapezoid.
3. Use the trapezoid height formula to calculate the height of the trapezoid.
4. Enter the values of a, b, c, and d into our Trapezoid Height Calculator to get an instant result.

To make the process even easier, we have created a Trapezoid Height Calculator for you to use. Simply chose the formula that corresponds to your trapezoid, enter the values of a, b, c and d, or area and midline and our calculator will give you the height of the trapezoid in seconds.

With our Trapezoid Height Calculator and step-by-step guide, you can easily find the height of a trapezoid. Whether you are a student, teacher, or professional, our free tool can save you time and effort. Try it out now!