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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