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