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Mathematics 16 Online
OpenStudy (anonymous):

If s = 7 cm and t = 24 cm, what is the length of r? (The shape is a right triangle)

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|

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

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?

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^*

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

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!

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?

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

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