What is an Isosceles Trapezoid?

An isosceles trapezoid is a special type of trapezoid (also known as a trapezium in some countries) that has two parallel sides of unequal length and two non-parallel sides of equal length. The parallel sides are called bases, while the non-parallel sides are called legs. In an isosceles trapezoid, the legs are congruent (equal in length), and the angles adjacent to each base are also congruent. This symmetry gives the isosceles trapezoid some unique properties that make it interesting in geometry.

How to Use the Isosceles Trapezoid Calculator

Step 1: Enter the length of the longer base (a)

Input the measurement of the longer parallel side of your isosceles trapezoid in the first field. This value must be greater than the shorter base.

Step 2: Enter the length of the shorter base (b)

Input the measurement of the shorter parallel side in the second field. Remember, this value should be less than the longer base (a).

Step 3: Provide either the height (h) or the leg length (s)

You need to input either the height of the trapezoid or the length of one of the non-parallel sides (legs). If you know the height, enter it in the “Height (h)” field. If you know the leg length, enter it in the “Length of leg (s)” field. You only need to provide one of these values; the calculator will determine the other.

Step 4: Click the “Calculate” button

After entering the required measurements, click the “Calculate” button. The calculator will process the information and display the results.

Step 5: Review the results

The calculator will display the following information:

• Area of the isosceles trapezoid
• Perimeter of the isosceles trapezoid
• Height (if not initially provided)
• Leg length (if not initially provided)
• Length of the diagonal

Step 6: Read the explanation

Below the calculated values, you’ll find a brief explanation of how the results were obtained. This can help you understand the formulas and calculations involved.

By following these steps, you can easily determine various properties of an isosceles trapezoid using this calculator. It’s a valuable tool for students, teachers, and professionals working with geometry and mathematical calculations.