SOLUTION: The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is 13 inches long. What is the length and width of the rectangle?
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Question 869894: The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is 13 inches long. What is the length and width of the rectangle?
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
clearly this triangle belongs to the 5-12-13 family or right triangles, but if this is not apparent...
We are given that
substituting into the Pythagorean formula
which can be solved to obtain
or
but since this is geometry we know all measurements are positive.
this in turn means
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