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Rectangle measures from diagonal: Side a Calculator

Rectangle measures from diagonal: Calculate side a from Diagonal, Side b. Check the formula, input units and worked result on this page.

Enter your values

cm
Formula symbol: d. Required unit: cm. Must be greater than zero.
cm
Formula symbol: b. 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
Side a
3 cm

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

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How it works

The diagonal is the hypotenuse formed by adjacent sides. A positive other side requires a diagonal larger than the known side. This form solves for side a; enter the known quantities in Diagonal, Side b.

Inputs and units
Rectangle measures from diagonal: Side a Calculator · Inputs and units
InputExample valueWhat to enter
Diagonal5 cmFormula symbol: d. Required unit: cm. Must be greater than zero.
Side b4 cmFormula symbol: b. Required unit: cm. Must be greater than zero.
a = √(d²−b²)

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.

Diagonal
5 cm
Side b
4 cm

Complete example results

Side a
3 cm

Reading the result

The result solves for side a 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 side a 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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