What is the length of the hypotenuse of the triangle below?
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OpenStudy (anonymous):
|dw:1371516403250:dw|
OpenStudy (anonymous):
\[a^2+b^2=c^2\]
OpenStudy (anonymous):
try to solve it
OpenStudy (anonymous):
if you still have trouble i can help
OpenStudy (anonymous):
\[9^2+9^2=c^2\]
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OpenStudy (anonymous):
So you get 162
OpenStudy (anonymous):
Yes. Very good job.
jimthompson5910 (jim_thompson5910):
a and b are 9*sqrt(2)
not just 9
OpenStudy (anonymous):
That is what i wrote
jimthompson5910 (jim_thompson5910):
9^2 isn't the same as 9*sqrt(2) though
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OpenStudy (anonymous):
Jim is correct. The drawing has each leg labeled as \(9\sqrt{2}\). Your work treats each leg as only 9.
OpenStudy (anonymous):
So it would be \[81^2\]?
OpenStudy (anonymous):
Her approach is good though, Stephanie. If you have a right triangle and you know two of the three sides, plug the sides into \(a^2+b^2 = c^c\) and solve for the third side. Make sure the longest side is plugged into c in your equation.