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:

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: