1. Write a Java application that asks the user for the lengths of all three sides of a triangle. Store each length in a variable. Then calculate the perimeter of the triangle.

2. Check whether or not the three side lengths can form a real triangle. Remember that, in any real triangle, the sum of the lengths of any two sides is greater than the length of the third side. So, if the triangle has side lengths a, b, and c, then all of the following must be true:

a+b > c

a+c > b

b+c > a

If the sides given cannot make a real triangle, say so instead of saying the perimeter and terminate the program.

What kind of triangle?

1. Add code to your program to determine and say whether or not the triangle described is a right triangle. If the triangle has side lengths a, b, and c, then the triangle is a right triangle if the following is true:

a2 + b2 = c2

5 Points Extra Credit:

2. Add code to your program to determine which type of triangle has the side lengths given. A triangle can be one of the following three types:

Triangle type	Description
Equilateral	All three side lengths equal
Isosceles	Two side lengths equal, one different
Scalene	All three side lengths different