SOLUTION: A rectangle has a short side of 5 and a diagonal of 10. What is the length of the rectangle?
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Question 507808: A rectangle has a short side of 5 and a diagonal of 10. What is the length of the rectangle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A rectangle has a short side of 5 and a diagonal of 10. What is the length of the rectangle?
.
Apply Pythagorean theorem:
Let x = length
then
5^2 + x^2 = 10^2
25 + x^2 = 100
x^2 = 75
x = sqrt(75)
x = sqrt(5*5*3)
x = 5*sqrt(3) (exact answer)
or, approximate answer:
x = 8.66
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