Triangable max

gistfile1.txt

var isTriangable = function(a,b,c){
    var max = Math.max.apply(null,[a,b,c]);
    var tmp = $([a,b,c]).filter(function(i,v){
        return v != max;
    });
    if(2 != tmp.length){
        return true;
    }
    return max < (tmp[0] + tmp[1]);
};

var input = [2,3,4,5,10];
var totals = [];
for(var i = 0; i < input.length ; i ++){
    for(var j = i+1 ; j < input.length ; j++){
        for(var k = j + 1 ; k < input.length ; k ++){
            if(isTriangable(input[i],input[j],input[k])){
                totals.push(input[i]+input[j]+input[k]);
            }
        }
    }
}
console.log(Math.max.apply(null,totals));

Python version.

from itertools import combinations

def isTriangle(t):
  a, b, c = t
  return a < b + c and b < a + c and c < a + b

print max(filter(isTriangle, combinations([2,3,4,5,10], 3)), key=sum)