Trapezoid Calculator
Calculate trapezoid area, perimeter, diagonals, and median. Supports isosceles trapezoid and right trapezoid. Enter bases and height or all four sides.
cm
cm
cm
Area
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Midsegment (Median) —
Extended More scenarios, charts & detailed breakdown ▾
Area (cm²)
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Midsegment (cm) —
Professional Full parameters & maximum detail ▾
Area & Perimeter
Area (cm²) —
Perimeter (cm) —
Midsegment & Diagonal
Midsegment (cm) —
Diagonal 1 (isosceles approx, cm) —
How to Use This Calculator
- Enter Base 1, Base 2, and Height to calculate area and midsegment.
- Use the With Sides tab to input all four sides for perimeter calculation.
- Use the Isosceles tab to find height from equal legs and bases.
- The Professional tab computes diagonals, area by coordinates, and altitude from sides.
Formula
Area: A = ½(a + b)h | Midsegment: m = (a + b)/2 | Perimeter: P = a + b + c + d
Example
a=6, b=10, h=4 → Area = ½×16×4 = 32, Midsegment = 8.
Frequently Asked Questions
- Area = ½ × (a + b) × h, where a and b are the parallel bases and h is the perpendicular height. For bases 6 and 10 with height 4: A = ½ × 16 × 4 = 32.
- The midsegment connects the midpoints of the two non-parallel sides. Its length equals the average of the two bases: m = (a + b) / 2. The area also equals midsegment × height.
- An isosceles trapezoid has equal-length legs (non-parallel sides). You can find the height from the base lengths and leg: h = √(leg² − ((b − a)/2)²).
- Perimeter = a + b + c + d, where a, b are bases and c, d are the legs (non-parallel sides). If only bases and height are known, extra information about leg angles or lengths is needed.
- A right trapezoid has exactly two right angles (one leg is perpendicular to both bases). The perpendicular leg equals the height.