How do I find the trapezoid height given area and bases?

Use h = 2A / (a + b). Enter area A and the two bases a and b; the calculator returns the height immediately.

What is the height of a trapezoid with area 10 and sides 2 and 3?

Assuming 2 and 3 are the bases (a and b), h = 2A/(a+b) = 20/5 = 4 units.

Is a trapezoid a parallelogram?

A parallelogram has two pairs of parallel sides; a trapezoid has at least one pair. So a parallelogram is a special case of an isosceles trapezoid only if both pairs are parallel? No—if both pairs are parallel, it is a parallelogram, not a trapezoid under the strict 'exactly one pair' definition. Many modern definitions use 'at least one pair', making every parallelogram also a trapezoid.

Is a parallelogram a trapezoid?

Depending on the convention: Under 'at least one pair of parallel sides', yes—a parallelogram qualifies. Under 'exactly one pair', no.

Does every trapezoid have 2 pairs of opposite parallel sides?

No. By definition a trapezoid has at least one pair of parallel sides (the bases). The legs are generally not parallel unless it degenerates into a parallelogram under the inclusive definition.

How many lines of symmetry does a trapezoid have?

A general trapezoid has none. An isosceles trapezoid has one line of symmetry—perpendicular to the bases through the midpoint of the median.

Trapezoid Calculator — trapezoidcalculator.com

How the Trapezoid Calculator works

Area is computed from the bases and height with A = (a + b)/2 × h. If you provide any three of these values, the fourth is derived automatically. Perimeter uses the midline (median) m = (a + b)/2 so that P = c + d + 2m. Angles follow the quadrilateral identity α + β + γ + δ = 360°.

What is a trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides (called the bases). The non-parallel sides are called legs. Some texts use the stricter definition “exactly one pair of parallel sides.” Our calculator supports both interpretations by focusing on base/height relationships that are invariant to the convention.

Trapezoid perimeter formula and the trapezoid angles

Perimeter is the sum of all sides. If the median length m is known, then a + b = 2m and P = 2m + c + d. Interior angles always sum to 360°. In an isosceles trapezoid, base angles are pairwise equal, but this isn’t required by the calculator.

How to calculate the area of a trapezoid

Enter bases a and b using any unit (cm, m, in, ft, etc.).
Enter the height h (perpendicular distance between the bases).
The area A is returned instantly in your chosen area unit.
If you already know A, enter it with a and b; the calculator will solve for h.

How to find the height of a trapezoid

Rearrange the area formula: h = 2A / (a + b). Provide the bases and area, and the calculator will compute h with proper unit handling.

Example: using the trapezoid calculator

Suppose a = 60 cm, b = 50 cm, and h = 72.73 mm. First the height is converted to centimeters (7.273 cm), then A = (60 + 50)/2 × 7.273 = 399.995 cm² (≈ 400 cm² after rounding). Switching units updates the number automatically.