SOLUTION: The length of a rectangle is 13 feet shorter than the diagonal. The width is 6 feet shorter than the diagonal. What are the dimensions of the rectangle? Is this a right triangl

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Question 287301: The length of a rectangle is 13 feet shorter than the diagonal. The width is 6 feet shorter than the diagonal. What are the dimensions of the rectangle?
Is this a right triangle? Explain. (You will get no credit unless your explanation makes sense.)
The sides are 73 inches, 55 inches and 48 inches.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
A diagonal of a rectangle forms a right triangle with its sides.
L=d-13
w=d-6
L^2+w^2=d^2
approximate answers
d=31.49, L=18.49, w=25.49
Your solution.
55^2+48^2=73^2
The sides are 55 and 48 and the diagonal is 73.
Those dimensions do indeed form a right triangle but they meet none of the criteria for the given rectangle and diagonal.
The length 55 is not 13 feet shorter than the diagonal 73.
The width 48 is not 6 feet shorter than the diagonal 73.