The converse of the pythagorean theorem is also a theorem: if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. use the converse of the pythagorean theorem to show that for a, b, c > 0, if a +b = c, then √a+√b> √c, so that √a+√b> √(a+b)