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# Trapezoid calculator

Input any value of a trapezoid and select what to find.
The calculator provides a step-by-step guide on how to find the missing value.
show help ↓↓ examples ↓↓
I want to find:
Input THREE values od a trapezoid
calculator works with decimals, fractions and square roots (to input $\color{blue}{\sqrt{2}}$ type $\color{blue}{\text{r2}}$)
long base
$a =$

short base
$b =$
side
$c =$

diagonal
$d =$
height
$h =$

median
$m =$
Area
$A =$

Perimeter
$P =$
angle
$\alpha =$

angle
$\beta =$

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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
example 1:ex 1:
Find the area of a trapezoid if a = 14, b = 8 and c = 5
example 2:ex 2:
Find the diagonal of a trapezoid if a = 10, h = 6 and Area = 52.
example 3: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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