Problem a (PA4a.java)

Write a program to evaluate the area of a triangle given the lengths of its sides using Heron's Formula1.

Here is an outline:

1. Get the three side lengths from the user (which might have decimal values): a, b, c.

2. Check to ensure that the sides are valid for a triangle. Importantly, the sum of the lengths of any

two sides must be larger than the length of the third side (you must check all three sides this way).

3. Calculate the semiperimeter (s):

4. Calculate the area:

You must format the output to have two decimal places (even if they are both 0), and round if necessary.

For example:

Enter the length of side a: 3

Enter the length of side b: 4

Enter the length of side c: 5

The area is 6.00

1 http://en.wikipedia.org/wiki/Heron%27s_formula

s =

a + b + c

2

area =

p

s(s _ a)(s _ b)(s _ c)