Height of a trapezoid

Calculator and formulas for calculating the height of a trapezoid using side and area

Calculate height of a trapezoid


This function calculates the height of a trapezoid using the side length and the area.

To calculate the height, enter the length of the sides a and c and the height;. Then click the 'Calculate' button.


Trapezoid height calculator

 Input
Side length a
Side length c
Area
Decimal places
 Results
Höhe

Formula for calculating the height

Calculation using side length and area


The height of the trapezoid can be calculated by use of the side length a and c and the area A;.

\(\displaystyle Höhe =\frac{2 · Fläche}{Seite + Seite } \)     ⇒     \(\displaystyle h =\frac{2 · A}{a + c} \)

Calculation using side length and angle


The height of the trapezoid can be calculated using the side length b and the angles β or γ. Alternatively, the height can be calculated using the side length d and the angles α or δ.

\(\displaystyle Height =Side \space length · sin(Angle) \)

\(\displaystyle h=b · sin(β) \)     ⇒     \(\displaystyle h=d · sin(α) \)

\(\displaystyle h=b · sin(γ) \)     ⇒     \(\displaystyle h=d · sin(δ) \)

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