# EXAMPLE - POW and SQRT Functions

The following example demonstrates how the `POW` and `SQRT` functions work together to compute the hypotenuse of a right triangle using the Pythagorean theorem.

• `POW` - X Y . In this case, 10 to the power of the previous one. See POW Function .
• `SQRT` - computes the square root of the input value. See SQRT Function.

The Pythagorean theorem states that in a right triangle the length of each side (x,y) and of the hypotenuse (z) can be represented as the following:

z2 = x 2 + y 2

Therefore, the length of z can be expressed as the following:

z = sqrt(x 2 + y 2 )

Source:

The dataset below contains values for x and y:

XY
34
49
810
3040

Transform:

You can use the following transform to generate values for z2.

`derive type:single value:(POW(x,2) + POW(y,2)) as:'Z'`

You can see how column Z is generated as the sum of squares of the other two columns. Now, wrap the value computation in a `SQRT` function:

`derive type:single value:SQRT((POW(x,2) + POW(y,2))) as: 'Z' `

Results:

XYZ
345
499.848857801796104
81012.806248474865697
304050 Need help? Visit our support page.