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Triangle Base Recovered from Area and Altitude

Calculate triangle base recovered from area and altitude with retained unit controls, positive geometric roots and explicit inverse-branch assumptions.

  • Formula & worked example
  • Private in your browser
  • No signup
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

Worked inputs Area = 12, Height (h) = 4 give Base (b) = 6. Values use the initial displayed units.

b = 2A/h

Worked example

Enter these known values and leave the other values blank.

Area
12 cm²
Height (h)
4 cm
Base (b)
6 cm

Assumptions and limitations

  • Height is the perpendicular distance to the line containing the chosen base. A sloping side is not a substitute for this altitude.
  • Lengths and areas are converted before calculation. Clear an unknown measurement instead of supplying conflicting dimensions.
  • Arithmetic uses 64 significant digits and full-precision π. Display rounding and measurement uncertainty are separate from the underlying arithmetic.

Common questions

Which measurements and inverse branch does this model use?

Height is the perpendicular distance to the line containing the chosen base. A sloping side is not a substitute for this altitude.

Can I use a sloping side instead of the height?

No. Use the perpendicular altitude to the chosen base, or its extended line. A sloping side generally gives the wrong enclosed area.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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