Consider a Right Triangle.

Side 1: = 6 Feet

Side 2 = 4 Feet

Hypotenuse = 5 Feet.

In general, I would assume that it is not possible that a hypotenuse would be shorter then the longest side in a right triangle.

Using the Pythagorean Theorem:

Side 1 = A, Side 2 = B, and Hypotenuse = C.

A^{2}+B^{2}=C^{2}

6^{2} +4^{2 =} C^{2}

36+16 = C^{2}

52=C^{2}

7.211 = C and C does not Equal 5.

Would it be correct in saying that a right triangle with Side 1 = 6, Side 2 = 4, and a Hypotenuse = 5 is not possible.

Thanks

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