Quadratic Equation Solver (ax² + bx + c = 0)
About Trapezoid Calculator
The Trapezoid (Trapezium) Geometry Calculator computes Area ($A = \frac{a+b}{2}h$), Perimeter, Midsegment / Median ($m = \frac{a+b}{2}$), Diagonal Lengths, and missing leg lengths for Isosceles, Right, and Scalene trapezoids.
How to Use Trapezoid Calculator
Step 1
Select trapezoid type (Isosceles, Right, or Scalene).
Step 2
Enter the lengths of Base A, Base B, and Height (or Leg lengths).
Step 3
Review computed area, perimeter, median, and diagonal lengths.
Step 4
Click "Copy Trapezoid Specs".
Practical Use Cases for Trapezoid Calculator
Roof Gable End & Mansard Truss Area Calculations
Calculate square footage of trapezoidal wall gables and roof surfaces for siding, sheathing, and insulation.
Civil Engineering Canal & Earthwork Trench Cross-Sections
Compute cross-sectional area and excavation soil volume for trapezoidal drainage ditches and irrigation canals.
Input & Output Examples
Calculating Isosceles Trapezoid with Bases 10 and 6, Height 4
Base a: `10 m`, Base b: `6 m`, Height h: `4 m`
Area: `32.0 m²` | Midsegment: `8.0 m` | Leg Length: `4.472 m` | Perimeter: `24.944 m` | Diagonals: `8.944 m`
Key Features & Performance
- ✓Supports: Isosceles Trapezoid, Right Trapezoid, and general Scalene Trapezoid configurations.
- ✓Computes: Area, Perimeter, Midsegment / Median, Both Diagonals, Internal Base Angles.
- ✓Multi-way solver: finds height from known area and bases, or bases from diagonals and legs.
- ✓100% Client-Side geometry solver.
- ✓1-Click Copy trapezoid specifications.
Key Terminology & Definitions
Trapezoid Midsegment (Median)
The line segment connecting the midpoints of the two non-parallel legs, with length equal to the average of the two parallel bases ($m = (a+b)/2$).
Isosceles Trapezoid
A trapezoid where the non-parallel legs are equal in length and the base angles are congruent.