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Task/Heronian-triangles/Java/heronian-triangles-1.java

@@ -0,0 +1,57 @@
+import java.util.ArrayList;
+public class Heron {
+	public static void main(String[] args) {
+		ArrayList<int[]> list = new ArrayList<int[]>();		
+		for(int c = 1; c <= 200; c++){
+			for(int b = 1; b <= c; b++){
+				for(int a = 1; a <= b; a++){
+					if(gcd(gcd(a, b), c) == 1 && isHeron(heronArea(a, b, c)						
+						list.add(new int[]{a, b, c, a + b + c, (int)heronArea(a, b, c)});	
+				}
+			}
+		}
+		sort(list);	
+		System.out.printf("Number of primitive Heronian triangles with sides up to 200: %d\n\nFirst ten when ordered by increasing area, then perimeter:\nSides		Perimeter	Area", list.size());
+		for(int i = 0; i < 10; i++){
+			System.out.printf("\n%d x %d x %d	%d		%d",list.get(i)[0], list.get(i)[1], list.get(i)[2], list.get(i)[3], list.get(i)[4]);
+		}
+		System.out.printf("\n\nArea = 210\nSides		Perimeter	Area");
+		for(int i = 0; i < list.size(); i++){
+			if(list.get(i)[4] == 210)
+				System.out.printf("\n%d x %d x %d	%d		%d",list.get(i)[0], list.get(i)[1], list.get(i)[2], list.get(i)[3], list.get(i)[4]);
+		}		
+	}	
+	public static double heronArea(int a, int b, int c){
+		double s = (a + b + c)/ 2f;
+		return Math.sqrt(s *(s -a)*(s - b)*(s - c));		
+	}	
+	public static boolean isHeron(double h){
+		return h % 1 == 0 && h > 0;
+	}	
+	public static int gcd(int a, int b){
+		int 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;
+	}
+	public static void sort(ArrayList<int[]> list){
+		boolean swapped = true;
+		int[] temp;
+		while(swapped){
+			swapped = false;
+			for(int i = 1; i < list.size(); i++){
+				if(list.get(i)[4] < list.get(i - 1)[4] || list.get(i)[4] == list.get(i - 1)[4] && list.get(i)[3] < list.get(i - 1)[3]){
+					temp = list.get(i);
+					list.set(i, list.get(i - 1));
+					list.set(i - 1, temp);
+					swapped = true;
+				}				
+			}			
+		}
+	}
+}

Task/Heronian-triangles/Java/heronian-triangles-2.java

@@ -0,0 +1,23 @@
+Number of 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