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Isosceles triangle altitude relation: Base Calculator

Isosceles triangle altitude relation: Calculate base from Equal side, Height. Check the formula, input units and worked result on this page.

Enter your values

cm
Formula symbol: s. Required unit: cm. Must be greater than zero.
cm
Formula symbol: h. Required unit: cm. Must be greater than zero.

Use a decimal point, without thousands separators.

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.
Example result
Base
6 cm

The initial result uses the example values. Enter your own values and calculate again.

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How it works

The vertex altitude bisects the base. Each equal side is the hypotenuse of one resulting right triangle. This form solves for base; enter the known quantities in Equal side, Height.

Inputs and units
Isosceles triangle altitude relation: Base Calculator · Inputs and units
InputExample valueWhat to enter
Equal side5 cmFormula symbol: s. Required unit: cm. Must be greater than zero.
Height4 cmFormula symbol: h. Required unit: cm. Must be greater than zero.
b = 2√(s² − h²)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Equal side
5 cm
Height
4 cm

Complete example results

Base
6 cm

Reading the result

The result solves for base from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the base result?

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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