Question 729822: The diagonal of a rectangle is 1m less than twice the length of one of the sides. The other side is 5m long. What is the diagonal Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The diagonal of a rectangle is 1m less than twice the length of one of the sides. The other side is 5m long. What is the diagonal
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Let d = diagonal
then
d/2 = length of one side
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applying Pythagorean theorem:
d^2 = (d/2)^2 + 5^2
d^2 = d^2/4 + 25
4d^2 = d^2 + 100
3d^2 = 100
d^2 = 100/3
d = sqrt(100/3)
d = sqrt(100)/sqrt(3)
d = 10/sqrt(3)
d = 10/sqrt(3) * sqrt(3)/sqrt(3)
d = 10sqrt(3)/3 meters
