Show that the triangle with sides of length 6 feet, 8 feet and 10 feet is a right triangle.

(Solution.) We will use the converse of the Pythagorean Theorem. Let a = 6, b = 8 and c = 10.

        6² + 8² =  10^{2
          36 +  64 =  100} 
           a² + b² = c²

We have shown that the triangle satisfies the equation    a² + b² = c², hence, it must be a right triangle.

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