Math / CALCULATOR

Isosceles Side from Base and Height

Isosceles Side from Base and Height: explicit measurements, a worked example and input validation.

Runs on your deviceUpdates as you typeFormula & example ↓
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Your inputs

Adjust the values to explore a different result.

units
Enter base in units.
units
Enter perpendicular height in units.

Formula

equal side=√(height²+(base/2)²); area=base × height/2.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. Height runs from the apex to the midpoint of the base.

Example Calculation

Example inputs
  • Base: 6 units
  • Perpendicular height: 4 units

Base 6 and perpendicular height 4 give equal sides 5, area 12 and perimeter 16.

Frequently asked questions

How do I use this calculator?

Enter base, perpendicular height. The result updates automatically. Use Reset to restore the example values.

What method does it use?

equal side=√(height²+(base/2)²); area=base × height/2.. Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. Height runs from the apex to the midpoint of the base.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.