Height of a trapezoid
Calculator and formulas for calculating the height of a trapezoid using side and angle
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 \( δ\)
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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.
\(\displaystyle Höhe =\frac{2 · Fläche}{Seite + Seite } \) ⇒ \(\displaystyle h =\frac{2 · A}{a + c} \)
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