Trapezoid Diagonal Calculator - Calculate Diagonal Lengths Easily

Diagonal in geometry, a line segment connecting two non-adjacent vertices of a polygon or polyhedron. The diagonal of a polygon is a line segment connecting its two vertices that do not lie on one side.

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.

Introduction: Are you struggling to find the diagonal lengths of a trapezoid? Our trapezoid diagonal calculator can help you out! With just a few clicks, you can calculate the diagonal lengths of any trapezoid using the trapezoid diagonal formula. In this article, we will explain what a trapezoid is, how to calculate its diagonal lengths, and how to use our trapezoid diagonal calculator.

Trapezoid Diagonal Formulas:

There are two common formulas to calculate the diagonal lengths of a trapezoid.

Through sides

You can calculate the diagonal of the trapezoid across the sides. To do this, you need to know all four sides. The derivation of this formula is based on the parallelism of the bases of the trapezoid, and rectangular triangles, which form the height drawn from the vertices of the upper base.

d_1 = \sqrt{c^2 + db - \dfrac{d(c^2 - a^2)}{d-b}}

d_2 = \sqrt{a^2 + db - \dfrac{d(c^2 - a^2)}{d-b}}

where d₁, d₂ are the diagonals lengths, and a, b, c, d are the lengths of the sides of the trapezoid.

Through midline and height

In an isosceles trapezoid, the diagonal can be calculated by height and the middle line. Since the leg of the triangle lying on the larger base of the trapezoid consists of a smaller base and half the difference of the two bases in the properties of an isosceles trapezoid, it will be equal in value to the midline.

d = \sqrt{h^2 + m^2}

where d is the diagonal length, h is the height, and mis the midline.

How to Use Our Trapezoid Diagonal Calculator

Using our trapezoid diagonal calculator is easy. All you have to do is select the formula, enter the required length of the trapezoid, and the calculator will do the rest. You can use our calculator to find the diagonal lengths of any trapezoid in just a few seconds.

Conclusion:

Calculating the diagonal lengths of a trapezoid can be tricky, but with our trapezoid diagonal calculator and the trapezoid diagonal formula, it's a breeze. Our calculator is easy to use, fast, and accurate, so give it a try today!