Height of a trapezoid

This function calculates the height of a trapezoid using the side length and an angle. To calculate the height, enter the length of the sides b and the angle β or γ. Alternatively, the length of the sides d and the α or δ be used.

Input

Side length \(b\) and angle \(β\) or \( γ\)

Alternatively

Side length \(d\) and angle \(α\) or \( δ\)

Formula for calculating the height

Calculation using side length and angle

The height of the trapezoid can be calculated by use of the side length b and the angles β or Γ. Alternatively, the side length d and the angles α or δ can be used.

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

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

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

Calculation using side length and area

The height of the trapezoid can be calculated using the parallel sides a and c and the area A.

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