Posted by **Nonno** on Wednesday, May 26, 2010 at 7:40pm.

A triangle with integral sides has primeter 8. the area of the triangle is? (A)2 root 2 (B) 16/9root3 (c)2root 3 (E)4root 3

Would somebody help me?? I don't know how to solve it!

- Advance Problem! -
**Reiny**, Wednesday, May 26, 2010 at 8:16pm
nice problem!

remember that the sum of any two sides of a triangle has to be greater than the third side, so let's try the possible 3 numbers that have a sum of 8.

6 1 1 - no

5 1 2 - no

5 2 1 - no

4 1 3 - no

4 2 2 - no

4 3 1 - no

3 1 4 - no

3 2 3 - yes

any others would simply be permutations of the above.

Using Heron's formula --- http://www.mathopenref.com/heronsformula.html

area = √(4(1)(1)(2))

= 2√2

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