Shapes & spaces

Trapezoid diagonals from base offset calculator

Find both diagonals when the horizontal position of the upper base is known.

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Behind the numbers

How this calculation works

A negative offset places the upper left corner to the left of the lower left corner. The formula still uses the full horizontal displacement.

THE FORMULAd₁ = hypot(offset + upper base, h), d₂ = hypot(lower base − offset, h)

A worked example

Bases 10 and 6 with height 4 and offset 2 produce equal diagonals √80.

Good to know

The two bases are horizontal and measured in the same direction.

Read the result

Find both diagonals when the horizontal position of the upper base is known.

The primary result is labeled “First diagonal”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

The two bases are horizontal and measured in the same direction.

For a related exercise, try the circle calculator.

A few questions, answered

How can I check the default inputs by hand?

Bases 10 and 6 with height 4 and offset 2 produce equal diagonals √80.

Which rule does this calculator apply?

d₁ = hypot(offset + upper base, h), d₂ = hypot(lower base − offset, h)

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