SOLUTION: the perimeter is 46cm and length of one side is 8cm find the length of the diagonal.

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Question 534120: the perimeter is 46cm and length of one side is 8cm find the length of the diagonal.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming this is a rectangle,
P = 46
P = 2(L+W)
L+W = 23
L = 8
W = 23-8 = 15
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Assuming this is a rectangle, we can use the Pythagorean Theorem to find the length of the diagonal.
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c^2 = 8^2 + 15^2
c^2 = 64 + 225
c^2 = 289
c = sqrt(289)
c = 17
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The sqrt(289) = + or -17, but we can ignore the -17 because a negative length for the diagonal is nonsense.
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Answer: The diagonal is 17 cm.