Diagonal of Isosceles Trapezoid Calculator

Calculate Diagonal







Formula

The formula to calculate the Diagonal of Isosceles Trapezoid is:

\[ d = \sqrt{(BLong \cdot BShort) + le(Lateral)^2} \]

Definition

Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid. Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid. Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid. Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non-parallel edges of the Isosceles Trapezoid.

Example Calculation

Let's assume the following values:

Using the formula:

\[ d = \sqrt{(15 \cdot 9) + 5^2} = 12.6491106406735 \]

The Diagonal is 12.6491106406735 Meters.

Conversion Chart

Long Base (Meters) Short Base (Meters) Lateral Edge (Meters) Diagonal (Meters)
14 9 5 12.288205727444508
14.5 9 5 12.469963913339926
15 9 5 12.649110640673518
15.5 9 5 12.825755338380660
16 9 5 13.000000000000000