SOLUTION: what is the greatest and smallest possible integral lengths of the hypotenuse of the right triangle if the two sides measures 8 cm and 5 cm?

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Question 815608: what is the greatest and smallest possible integral lengths of the hypotenuse of the right triangle if the two sides measures 8 cm and 5 cm?

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
use pythagorean thm:
h = sqrt( aa + bb )
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h = sqrt( 8*8 + 5*5 )
h = sqrt( 64 + 25 )
h = sqrt( 89 )
h = 9.434
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Answer:
this is a trick question.
this triangle cannot have a hypotenuse with an integral length (i.e. a hypotenuse whose length is an integer value).
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