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)   (Show Source): You can put this solution on YOUR website!
.
Can these 3 numbers form a right triangle? 4,8,4 √(5)
~~~~~~~~~~~~~~~


            Actually, the numbers CAN NOT form a triangle.

            But the segments CAN. 


 +  = 16 + 64 = 80 = ,


therefore, the answer is "YES".


Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
a right triangle satisfies the Pythagorean Theorem
:
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)
:
we are give 4, 8, 4*square root(5)
:
Note that 4*square root(5) is approximately 8.9442
:
square all three given sides
:
16, 64, 80(16*5)
:
16 +64 = 80
:
80 = 80
:
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the three numbers 4, 8, 4*square root(5) can form a right triangle
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