SOLUTION: Can these 3 numbers form a right triangle? 4,8,4 √(5)

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Question 1117413: Can these 3 numbers form a right triangle? 4,8,4 √(5)

Found 2 solutions by ikleyn, rothauserc:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Can these 3 numbers form a right triangle? 4,8,4 √(5)
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            Actually, the numbers CAN NOT form a triangle.

            But the segments CAN. 


4%5E2 + 8%5E2 = 16 + 64 = 80 = %284%2Asqrt%285%29%29%5E2,


therefore, the answer is "YES".


Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
a right triangle satisfies the Pythagorean Theorem
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a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse(longest side and opposite the 90 degree angle)
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we are give 4, 8, 4*square root(5)
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Note that 4*square root(5) is approximately 8.9442
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square all three given sides
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16, 64, 80(16*5)
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16 +64 = 80
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80 = 80
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the three numbers 4, 8, 4*square root(5) can form a right triangle
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