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Mathematics 21 Online
OpenStudy (anonymous):

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

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: \(\large\color{slate}{ \displaystyle m^2+n^2=l^2 }\)

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?

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

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?

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| ??

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):

?

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 ?

OpenStudy (solomonzelman):

interpretation*

OpenStudy (solomonzelman):

|dw:1422237701751:dw|

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