Write the method called printTriangleType. This method accepts three integer arguments representing the lengths of the sides of a triangle and prints the type of triangle that these sides form. Here are some sample calls to printTriangleType:

printTriangleType(5, 7, 7);

printTriangleType(6, 6, 6);

printTriangleType(5, 7, 8);

printTriangleType(2, 18, 2);

The output produced by these calls should be

isosceles

equilateral

scalene

isosceles

Your method should throw an IllegalArgumentException if passed invalid values, such as ones where one side's length is longer than the sum of the other two, which is impossible in a triangle. For example, the call of printTriangleType(2, 18, 2); should throw an exception. Also, the method should check to see if the triangle is a right triangle by checking to see if c2 = a2 + b2. Write a main program that tests the method and demonstrates that it works properly.