SOLUTION: the hypotenuse of a right triangle measures 29 cm. one leg is 1 cm shorter than the other. what are the lenghts of the legs?
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Question 443094: the hypotenuse of a right triangle measures 29 cm. one leg is 1 cm shorter than the other. what are the lenghts of the legs?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Recall that .
We know that and we know that one of the legs is 1 less than the other. Let's choose a to be 1 less than b.
Then
So b=-20 or b=21
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But it does not make sense to have a negative length, so the one that makes LOGICAL sense is b =21
If b =21, then a=20 since a = b-1.
So we have (20,21,29) is our triangle.
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