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Trapezoid calculator
This calculator finds the unknown element of a trapezoid given any three known values. The calculator can find long and short base, side, diagonal, height, median, area perimeter and interior angle. The calculator gives you a step-by-step solution on how to find the missing value.
working...
Trapezoid formulas
| $$ A = \frac{(a+b)\cdot h}{2} $$ |
| area |
| $$ P = a + b + 2c $$ |
| perimeter |
| $$ d^2 = h^2 + y^2 $$ |
| diagonal |
| $$ c^2 = h^2 + x^2 $$ |
| side |
| $$ m = \frac{a+b}{2} $$ |
| median |
| $$ h = c \cdot \sin \alpha $$ |
| height |
| $$ d^2 = a^2 + c^2 - 2ac\cdot\cos\alpha $$ |
| diagonal |
| $$ \alpha + \beta = 180^2 $$ |
| angles |
| $$ \sin\alpha = \frac{h}{c} $$ |
| sine α |
| $$ \cos\alpha = \frac{x}{c} $$ |
| cosine α |
| $$ \tan\alpha = \frac{h}{x} $$ |
| tangent α |
Examples
ex 1:
Find the area of a trapezoid if a = 14, b = 8 and c = 5
ex 2:
Find the diagonal of a trapezoid if a = 10, h = 6 and Area = 52.
ex 3:
The perimeter of an isosceles trapezoid is 200cm, the long base is 60cm, the
short base is 30cm. Calculate the
area of a trapezoid.
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