The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 16 cm and a second side that is 2 cm less than twice the third side, what are the possible lengths for the second and third sides?

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.