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Free trapezoid calculator & area of trapezoid calculator. Calculate isosceles trapezoid area, perimeter, angles, height, sides & diagonals. Our trapezium calculator supports isosceles, right, and general trapezoids with step-by-step analysis and multiple unit systems.
Last updated: February 2, 2026
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Area
50.00 cm²
Perimeter
30.77 cm
Median Length
10.00 cm
Diagonal (approx)
11.18 cm
Trapezoid Type:
Isosceles Trapezoid
Formula Used:
A = ½(b₁ + b₂)h, legs = √(h² + ((b₁-b₂)/2)²)
Analysis:
Isosceles trapezoid with equal legs = 5.39 units
Trapezoid Properties:
Equal legs and base angles
Area = ½(b₁ + b₂) × h
Perfect for symmetric designs and architectural applications
Universal area formula
A = ½(b₁ + b₂) × h
Works for all trapezoid types: isosceles, right, scalene
UK/International standard
Same as trapezoid
Identical calculations with British terminology
One perpendicular leg
Simplified calculations
Easier leg length calculations due to right angle
Height from area
h = 2A/(b₁ + b₂)
Rearrange area formula to solve for height
Angle relationships
Sum = 360°
Use trigonometry and angle properties for calculations
Isosceles trapezoid with bases 8 cm and 12 cm, height 5 cm:
Area
50.0 cm²
Perimeter
30.8 cm
Median
10.0 cm
Leg Length
5.39 cm
Our trapezoid calculator applies fundamental geometric principles to analyze quadrilaterals with one pair of parallel sides. The calculations use coordinate geometry, trigonometry, and the Pythagorean theorem to determine all trapezoid properties.
A = ½(b₁ + b₂) × h (area formula)P = b₁ + b₂ + l₁ + l₂ (perimeter)m = (b₁ + b₂)/2 (median length)l = √(h² + ((b₁-b₂)/2)²) (isosceles legs)These formulas apply to different trapezoid types. The area formula is universal, while leg calculations depend on whether the trapezoid is isosceles, right, or scalene.
Shows parallel bases, height, legs, and median
Trapezoid calculations are based on properties of parallel lines and right triangles. When perpendiculars are dropped from the shorter base to the longer base, they create right triangles that help determine leg lengths. Our calculator handles different trapezoid types with specialized formulas for each configuration.
Exploring more geometry? Try our free fall calculator for physics and partial pressure calculator for chemistry.
Get Custom Geometry Calculator for Your PlatformResult: Area = 64 m², Perimeter = 32.5 m, Leg length = 8.25 m
Perfect for architectural designs and engineering applications!
Bases: 5m & 8m, Height: 6m
Area = 39 m², Perimeter = 25.6 m
Bases: 4m & 7m, Height: 5m
Area = 27.5 m², Perimeter = 19.6 m
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