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Task/Heronian-triangles/JavaScript/heronian-triangles-1.js

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+window.onload = function(){	
+    var list = [];
+    var j = 0;	
+    for(var c = 1; c <= 200; c++)
+        for(var b = 1; b <= c; b++)
+            for(var a = 1; a <= b; a++)
+	        if(gcd(gcd(a, b), c) == 1 && isHeron(heronArea(a, b, c)))							
+		    list[j++] = new Array(a, b, c, a + b + c, heronArea(a, b, c));
+    sort(list);	
+    document.write("<h2>Primitive Heronian triangles with sides up to 200: " + list.length + "</h2><h3>First ten when ordered by increasing area, then perimeter:</h3><table><tr><th>Sides</th><th>Perimeter</th><th>Area</th><tr>");
+    for(var i = 0; i < 10; i++)
+	document.write("<tr><td>" + list[i][0] + " x " + list[i][1] + " x " + list[i][2] + "</td><td>" + list[i][3] + "</td><td>" + list[i][4] + "</td></tr>");
+    document.write("</table><h3>Area = 210</h3><table><tr><th>Sides</th><th>Perimeter</th><th>Area</th><tr>");
+    for(var i = 0; i < list.length; i++)
+	if(list[i][4] == 210)
+	    document.write("<tr><td>" + list[i][0] + " x " + list[i][1] + " x " + list[i][2] + "</td><td>" + list[i][3] + "</td><td>" + list[i][4] + "</td></tr>");    		
+    function heronArea(a, b, c){
+	var s = (a + b + c)/ 2;
+	return Math.sqrt(s *(s -a)*(s - b)*(s - c));		
+    }	
+    function isHeron(h){
+        return h % 1 == 0 && h > 0;
+    }	
+    function gcd(a, b){
+	var leftover = 1, dividend = a > b ? a : b, divisor = a > b ? b : a;		
+	while(leftover != 0){
+	    leftover = dividend % divisor;
+	    if(leftover > 0){
+		dividend = divisor;
+		divisor = leftover;
+	    }
+	}		
+	return divisor;
+    }	
+    function sort(list){
+	var swapped = true;
+	var temp = [];
+	while(swapped){
+	    swapped = false;
+	    for(var i = 1; i < list.length; i++){
+		if(list[i][4] < list[i - 1][4] || list[i][4] == list[i - 1][4] && list[i][3] < list[i - 1][3]){
+		    temp = list[i];
+		    list[i] = list[i - 1];
+		    list[i - 1] = temp;
+		    swapped = true;
+		}				
+	    }			
+	}
+    }
+}

Task/Heronian-triangles/JavaScript/heronian-triangles-2.js

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+Primitive Heronian triangles with sides up to 200: 517
+
+First ten when ordered by increasing area, then perimeter:
+Sides	Perimeter	Area
+3 x 4 x 5	12	6
+5 x 5 x 6	16	12
+5 x 5 x 8	18	12
+4 x 13 x 15	32	24
+5 x 12 x 13	30	30
+9 x 10 x 17	36	36
+3 x 25 x 26	54	36
+7 x 15 x 20	42	42
+10 x 13 x 13	36	60
+8 x 15 x 17	40	60
+
+Area = 210
+Sides	Perimeter	Area
+17 x 25 x 28	70	210
+20 x 21 x 29	70	210
+12 x 35 x 37	84	210
+17 x 28 x 39	84	210
+7 x 65 x 68	140	210
+3 x 148 x 149	300	210