If s = 7 cm and t = 24 cm, what is the length of r?
(The shape is a right triangle)
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OpenStudy (anonymous):
|dw:1422235416399:dw|
OpenStudy (swissgirl):
Ok So you are saying that we have a right triangle and one side has a length of 7 another of 24 and we would liek to find the length of the hypotnuse?
OpenStudy (anonymous):
I'm guessing this is your triangle?
OpenStudy (anonymous):
yes and yes
OpenStudy (anonymous):
|dw:1422235467207:dw|
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OpenStudy (swissgirl):
Hmmmm @doulikepiecauseidont ya think r is the hypotenuse??? maybe t is?
OpenStudy (anonymous):
yes I do @swissgirl
OpenStudy (anonymous):
This is a Pythagorean triple
OpenStudy (anonymous):
|dw:1422235494864:dw| it looks more like this, i dont know if that changes anything...
OpenStudy (anonymous):
Plus, they never specified what side goes where, so I'm allowed to assume this
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OpenStudy (swissgirl):
Ya that is a better representation but we get the picture. I just would like to know how you knew that r was the hypotenuse ... Im curious
OpenStudy (swissgirl):
Who said you can assume?
OpenStudy (anonymous):
The questioner did, I asked if that was her triangle and she said yes, if it wasn't then I would've changed it lol
OpenStudy (swissgirl):
ohhh ok gotcha
OpenStudy (anonymous):
so whats the answer?
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OpenStudy (anonymous):
You have to use the Pythagorean theorem : \[\Large \color{blue}{s}^2+\color{blue}{t}^2=\color{red}{r}^2\]
OpenStudy (anonymous):
so 49+576=625?
OpenStudy (anonymous):
Now you have found r^2
OpenStudy (anonymous):
so its 62^ or just 625?
OpenStudy (anonymous):
625^*
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OpenStudy (anonymous):
r^2=625
you have to take the sqrt of both sides
OpenStudy (anonymous):
so whats the answer...
OpenStudy (anonymous):
You have the answer multiplied by itself (r times r)
OpenStudy (anonymous):
take the sqrt of both sides
OpenStudy (anonymous):
r times r=r^2
we just want r so we have to take the sqrt
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OpenStudy (anonymous):
and the sqrt is?...
OpenStudy (anonymous):
31?
OpenStudy (anonymous):
is 31 times 31 equal to 625?
a number is the square root (sqrt) of another number if you multiply that number by itself and get the number in question:
e.g., 2 is th sqrt of 4 cause 2 times 2=4
OpenStudy (anonymous):
oh okay so its 25?
OpenStudy (anonymous):
Correct!
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OpenStudy (anonymous):
thats the final answer?
OpenStudy (anonymous):
Good job there
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
thanks sorry it took forever !
OpenStudy (anonymous):
could you help with another?
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OpenStudy (anonymous):
Nope, that's what we're here for
OpenStudy (anonymous):
But sure I'll help, close this question and make a new thread