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Trapezoid calculator

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This calculator finds the unknown value of a trapezoid given any three known dimensions. 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.

Trapezoid Calculator
input three dimensions to find the missing one
help ↓↓ examples ↓↓
Solve for
trapezoid
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 = $
 
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
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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