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March 28, 2017

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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! - ,

    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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