If m = 35 cm and n = 37 cm, what is the length of l?
A.144cm
B.2Cm
C.6 squareroot 2 cm
D.12
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OpenStudy (anonymous):
Is this a right triangle?
OpenStudy (anonymous):
yeah so use the m^+n^=l^ right?
OpenStudy (solomonzelman):
|dw:1422236926327:dw|like this?
OpenStudy (anonymous):
yes
OpenStudy (solomonzelman):
Okay, so for any such a triangle with a hypotenuse of l, you would have that:
\(\large\color{slate}{ \displaystyle m^2+n^2=l^2 }\)
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OpenStudy (solomonzelman):
you are given the m and the n.... go for it
OpenStudy (solomonzelman):
m=35
n=37
OpenStudy (anonymous):
1225+1369=?
OpenStudy (anonymous):
2594
OpenStudy (anonymous):
@SolomonZelman is that the final answer?
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OpenStudy (solomonzelman):
yes, so you have: \(\large\color{slate}{ 2594=l^2 }\)
it is not yet a final answer
OpenStudy (solomonzelman):
you need to take the square rot of both sides to find the length of l.
OpenStudy (anonymous):
the sr of both sides are 5.9 and 6.0?
OpenStudy (solomonzelman):
\(\large\color{slate}{ 2594=l^2 }\) is what we have so far, correct?
OpenStudy (anonymous):
yes
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OpenStudy (solomonzelman):
\(\large\color{black}{ 2594=l^2 }\)
taking the square root on both sides,
\(\large\color{black}{ \color{red}{\sqrt{\color{black}{2594}}}=\color{red}{\sqrt{\color{black}{l^2}}} }\)
OpenStudy (solomonzelman):
what do you get for the right side ?
OpenStudy (anonymous):
....50.9?
OpenStudy (solomonzelman):
yes, the left side
and the right side is.
OpenStudy (solomonzelman):
the right side is?
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OpenStudy (anonymous):
i dont know
OpenStudy (solomonzelman):
\(\large\color{black}{ \color{red}{\sqrt{\color{black}{x^2}}}=x }\) for any number x.
OpenStudy (solomonzelman):
just like: \(\large\color{black}{ \color{red}{\sqrt{\color{black}{2^2}}}=2 }\)
OpenStudy (solomonzelman):
So you are having: \(\large\color{black}{ l=\color{red}{\sqrt{\color{black}{2594}}} }\)
I think the intepretation was incorrect.
OpenStudy (solomonzelman):
maybe it is:
|dw:1422237546446:dw| ??
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OpenStudy (solomonzelman):
it makes a big difference which side is the hypotenuse!
OpenStudy (anonymous):
The answer is 12!
OpenStudy (solomonzelman):
how do you know ?
OpenStudy (solomonzelman):
k, based on which interpretation of the question are you now going /
OpenStudy (solomonzelman):
?
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OpenStudy (anonymous):
Well its because im doing homework online and it gives you an explanation as to why the answer you chose is incorrect or incorrect
OpenStudy (anonymous):
*correct or incorect
OpenStudy (solomonzelman):
k, but is my first or second intrpertation of the question correct ?