Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

# 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.

Trapezoid calculator
Input three elements of a trapezoid to find the missing one.
help ↓↓ examples ↓↓
Solve for
Input THREE elements of a trapezoid
a =

b =
c =

d =
h =

m =
A =

P =
α =

β =

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.
Related calculators
Find more worked-out examples in our database of solved problems..
Search our database with more than 300 calculators
441 944 033 solved problems
×
ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
4
5
6
+
1
2
3
=
0
.