Trapezoid Calculator
Calculate area, perimeter, height, and angles of trapezoids with step-by-step solutions
Trapezoid Calculator
Perpendicular distance between the parallel bases
Trapezoid Diagram
Calculation Results
Area Formula: A = (a + b) × h / 2
Calculation: A = (0 + 0) × 0 / 2 = 0 units²
Median: m = (a + b) / 2 = (0 + 0) / 2 = 0 units
Trapezoid Properties
Example Calculation
Right Trapezoid Example
Bottom base (a): 8 units
Top base (b): 5 units
Height (h): 3 units
Left leg (c): 3 units (perpendicular to bases)
Right leg (d): 5 units
Calculations
Area: A = (8 + 5) × 3 / 2 = 19.5 units²
Perimeter: P = 8 + 5 + 3 + 5 = 21 units
Median: m = (8 + 5) / 2 = 6.5 units
Type: Right trapezoid (has a 90° angle)
Types of Trapezoids
Scalene Trapezoid
All sides have different lengths
Isosceles Trapezoid
Both legs have equal length
Right Trapezoid
Has at least one 90° angle
Formula Reference
Area
A = (a + b) × h / 2
Perimeter
P = a + b + c + d
Median
m = (a + b) / 2
Height from Area
h = 2A / (a + b)
Height from Trigonometry
h = c × sin(α)
Understanding Trapezoids
What is a Trapezoid?
A trapezoid (or trapezium in British English) is a quadrilateral with exactly one pair of parallel sides called bases. The non-parallel sides are called legs. The distance between the parallel sides is the height.
Key Properties
- •Exactly one pair of parallel sides (bases)
- •Sum of interior angles equals 360°
- •Adjacent angles are supplementary
- •Median is parallel to bases
Applications
- •Architecture and construction
- •Engineering and design
- •Land surveying and area calculation
- •Mathematical modeling
Note: A rectangle is a special case of trapezoid where both pairs of opposite sides are parallel. All rectangles are trapezoids, but not all trapezoids are rectangles.