Nice Alain!
On 12/14/06, Alain Rousseau <[EMAIL PROTECTED]> wrote:
Speaking of Triangles, I made an utility Class to help me solve Triangle
problems
and the formulas are all taken from mathworld website
It will help you get the missing values of your triangles :
Hope it helps someone out there ...
Alain
/***************************************************************************
******
*
* Triangle Solver
*
* File: TriangleSolver.as
* Created by: [EMAIL PROTECTED]
*
****************************************************************************
*****/
/***************************************************************************
******
*
*
* Class: TriangleSolver
*
* Class that helps solving triangle equations, all the methods are
static
* so there is no need to create an instance of the class
*
* Math reference : http://en.wikipedia.org/wiki/Triangle
*
* Usage Example :
*
* import ca.daroost.utils.TriangleSolver;
* // lets say that we have a rectangle triangle of known height and
width and we are looking for the hypotenuse
* var hyp:Number = TriangleSolver.hypothenuse(100, 50);
*
*
****************************************************************************
*****/
class ca.daroost.utils.TriangleSolver {
//
/***************************************************************************
******
*
* Properties
*
****************************************************************************
*****/
//
public static var DEGTORAD:Number = Math.PI/180;
public static var RADTODEG:Number = 180/Math.PI;
//
/***************************************************************************
******
*
* Constructor : TriangleSolver
*
****************************************************************************
*****/
//
function TriangleSolver() {
}
//
/***************************************************************************
******
****************************************************************************
******
**
**
Methods
**
****************************************************************************
******
****************************************************************************
*****/
//
//
/***************************************************************************
******
*
* Method : hypothnuse
*
* The Pythagorean theorem
*
* @param : a - the a side
* b - the b side
*
****************************************************************************
*****/
//
// c = sqrt(a^2 + b^2)
public static function hypothenuse(a:Number, b:Number):Number {
var c:Number;
c = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));
return c;
}
//
/***************************************************************************
******
*
* Method : sineRule
*
* Refers to the sine rule
* c/sin(angleC) = a/sin(angleA) = b/sin(angleB)
*
* @param : c - the c side
* angleC - the angle opposed to the c
side
* a - the a side
* angleA - the angle opposed to the a
side
*
****************************************************************************
*****/
//
//
public static function sineRule(c:Number, angleC:Number, a:Number,
angleA:Number):Number {
if ( (angleC == undefined) || (angleC == null) ) {
angleC = Math.asin(c*Math.sin(a)/angleA);
return angle;
} else if ( (c == undefined) || (c == null) ) {
c = a*Math.sin(angleC)/Math.sin(angleA);
return c;
}
}
//
/***************************************************************************
******
*
* Method : cosRule
*
* Refers to the cosine rule which is the extended version
of the Pythagorean theorem
* c^2 = a^2 + b^2 - 2*a*b*cos(angleC)
*
* @param : c - the c side
* a - the a side
* b - the b side
* angleC - the angle opposed to the c
side
*
****************************************************************************
*****/
//
public static function cosRule(c:Number, a:Number, b:Number,
angleC:Number):Number {
if ( (angleC == undefined) || (angleC == null) ) {
angleC =
Math.acos((Math.pow(a,2)+Math.pow(b,2)-Math.pow(c,2))/2*a*b);
return angle;
} else if ( (c == undefined) || (c == null) ) {
c =
Math.sqrt(Math.pow(a,2)+Math.pow(b,2)-2*a*b*Math.cos(angleC));
return c;
}
}
//
/***************************************************************************
******
*
* Method : angleRule
*
* Refers to the angle rule
* angleC + angleA + angleB = 180
*
* @param : angleA - the angle opposed to the a side
* angleB - the angle opposed to the b
side
*
****************************************************************************
*****/
//
public static function angleRule(angleA:Number,
angleB:Number):Number {
var angleC:Number;
angleC = 180 - (angleA + angleB);
return angleC;
}
//
/***************************************************************************
******
*
* Method : area
*
* Calculates the area of a triangle (best for a rectangle
triangle)
* A = b*h/2
*
* @param : b - the base of the triangle
* h - the height of the triangle
*
****************************************************************************
*****/
//
public static function area(b:Number, h:Number):Number {
var area:Number;
area = b*h/2;
return area;
}
//
/***************************************************************************
******
*
* Method : areaHeron
*
* Calculates the area of a triangle where s is the triangle's
semiperimeter
* s = a+b+c/2
* A = sqrt(s(s-a)(s-b)(s-c))
*
* @param : a - the a side
* b - the b side
* c - the c side
*
****************************************************************************
*****/
//
public static function areaHeron(a:Number, b:Number,
c:Number):Number {
var area:Number;
area = Math.sqrt((a+b+c)*(a+b-c)*(b+c-a)*(c+a-c))/4;
return area;
}
}
-----Original Message-----
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] On Behalf Of Merrill,
Jason
Sent: 14 décembre 2006 14:06
To: Flashcoders mailing list
Subject: RE: [Flashcoders] Area of a triangle using perimiter values only
Thanks - all, yes Jake saw it first and others chimed in with the same
thought, my numbers did not compute because they did not make a triangle. I
have it working now.
The formula is fine, and this function works for me as long as the values
come from a true triangle:
public static function areaOfTriangle(a:Number, b:Number,
c:Number):Number{
return (Math.sqrt((a+b+c)*(b+c-a)*(c+a-b)*(a+b-c)))/4;
}
Thanks eveyrone!
Jason Merrill
Bank of America
Learning & Organizational Effectiveness
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Jordan Snyder
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http://www.imageaction.com
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