CALCULATOR
Isosceles Trapezoid Area from Short Base, Base Gap and Leg Clearance Calculator
Isosceles Trapezoid Area from Short Base, Base Gap and Leg Clearance. Example: Short base: 4 m, Half base gap: 1 m, Leg clearance: 2 m gives 14.1421356237 m². Convex isosceles trapezoid with parallel bases; clearance positive ensures real height. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Convex isosceles trapezoid with parallel bases; clearance positive ensures real height. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Equal leg=half gap+clearance, long base=short+2half gap; perpendicular height follows Pythagoras.
Accepted inputs: Short base: 0.001 to 10,000 m; Half base gap: 0.001 to 10,000 m; Leg clearance: 0.001 to 10,000 m.
Isosceles Trapezoid Area from Short Base, Base Gap and Leg Clearance
How the calculation works
A=(short base+half gap)√(clearance(2half gap+clearance))
Worked example
With short base 4 m, half base gap 1 m, leg clearance 2 m, isosceles trapezoid area from short base, base gap and leg clearance is 14.14213562 m².
Assumptions and limits
Convex isosceles trapezoid with parallel bases; clearance positive ensures real height. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Equal leg=half gap+clearance, long base=short+2half gap; perpendicular height follows Pythagoras.