# CFLib.org – Common Function Library Project

## IsRightTriangle(x, y, z)

##### Last updated December 07, 2001

Version: 1 | Requires: CF5 | Library: MathLib

Description:
Takes any three numbers corresponding to sides on a triangle and returns a boolean for whether or not the three sides can create a right triangle. Order of numbers does not matter.

Return Values:
Returns a Boolean value.

Example:

``````<cfset x=4>
<cfset y=3>
<cfset z=5>

<CFOUTPUT>
Given x=4,y=3,and z=5<br>
Does this represent a right triangle?
<BR>
</CFOUTPUT>
``````

Parameters:

Name Description Required
x Length of one side of the triangle. Yes
y Length of the second side of the triangle. Yes
z Length of the third side of the triangle. Yes

Full UDF Source:

``````/**
* Takes any three numbers, checks to see whether they create a right triangle.
* Optimizations by Rob Brooks-Bilson (rbils@amkor.com) and Sierra Bufe (sierra@brighterfusion.com)
*
* @param x      Length of one side of the triangle.
* @param y      Length of the second side of the triangle.
* @param z      Length of the third side of the triangle.
* @return Returns a Boolean value.
* @author Joshua Kay (josh@dataquix.com)
* @version 1, December 7, 2001
*/
function isRightTriangle(x,y,z){
// Sort the side lengths from smallest to largest
ArraySort(Arguments,"Numeric");
// Use the familiar Pythagorian theorem (a^2+B^2=C^2) to determine if this is a right triangle
Return (Arguments^2 + Arguments^2) EQ Arguments^2;
}
``````

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