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Lv 7
? asked in Science & MathematicsMathematics · 8 years ago

Can you solve this challenging problem (possibly involving the pigeonhole principle)?

Show that if you choose any 12 real numbers between 1 and 12, three of them must be the sides of an acute triangle.

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  • Grassy
    Lv 7
    8 years ago
    Favorite Answer

    to be sides of an acute triangle they must not meet the pythagoreum theorem.

    x^2 + y^2 = R^2

    real numbers are 1,2,3,4,5,6,7,8,9,10,11, and 12

    3,4,5 is a right triangle

    6, 8, 10 is a right triangle

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