SOLUTION: What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?What are the poss

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Question 1079117: What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?What are the possible thirs side lengths
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?What are the possible thirs side lengths
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a = 9
b = 12
c = 3rd side
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a-b < c < a+b
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
There are two possibilities.


1.  The third side, x, is the hypotenuse.

     Then x =  =  = 15.



2.  The third side is the leg.

    In this case 12 is the longest side (the hypotenuse), and the third side length is

    x =  = .


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