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Mathematics 21 Online
OpenStudy (anonymous):

Help with right triangles?

OpenStudy (anonymous):

I feel like I have to be doing this wrong, because my hypotenuse comes out shorter than the longer leg,

OpenStudy (anonymous):

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OpenStudy (anonymous):

can you show me what you did?

OpenStudy (anonymous):

One moment please.

OpenStudy (anonymous):

I wound up confusing myself and it makes no sense but:

OpenStudy (anonymous):

Given the short leg, you need to find the long leg, which means it is not the hypotenuse. I'm going to guess it is the 30-60-90 triangle given the problem SL=6 and you need to find the LL. First off, identify the short length, if you look at my diagram, short length is L on the right of my two triangles. So that means if SL=6 and SL=L, therefore L=6. To find the LL=\[L \sqrt{3}\]=\[6\sqrt{3}\]

OpenStudy (anonymous):

your hypotenuse should be longer because it is = 2L which means it is = 2(6) = 12

OpenStudy (anonymous):

sqrt 3 is roughly 1.73

OpenStudy (anonymous):

Wow, I feel stupid. That was so easy, Thank you. How would I go about doing problem b?

OpenStudy (anonymous):

am i suppose to see a problem b?

OpenStudy (anonymous):

if thats your handwriting its very pretty btw @@ i tend to chicken scratch

OpenStudy (anonymous):

Thank you! And I meant problem b of the first item I attached. I'll re-attach it:

OpenStudy (anonymous):

Oh okay, right. so if you look at my photo on the left triangle, let's pretend L=6 again. The two legs will always be the same so both L=6. Then you have the hypotenuse. = \[L \sqrt{2}\] = \[6 \sqrt{2}\]

OpenStudy (anonymous):

Are you talking about 30-60-90 or 45-45-90?

OpenStudy (anonymous):

sorry 45-45-9

OpenStudy (anonymous):

oh wait there were problems at the bottom that I ignored, whoops

OpenStudy (anonymous):

okay so 30-60-90 b if LL=30 \[LL=x \sqrt{3}=30\] \[x=30/\sqrt{3}\] = regular L hypotenuse = 2x you found x from above plug it in and you can find 2x

OpenStudy (anonymous):

Is it x = 10, so short leg is 10, long leg is \[10\sqrt{3}\] and hyp is 20?

OpenStudy (anonymous):

no the long leg was 30 which was x*sqrt3 and short leg is x so you find x by dividing 30 by sqrt of 3 to find hypotenuse multiply your answer of 30sqrt3 by 2 so it is 50*sqrt3 (no calculator on me)

OpenStudy (anonymous):

Okay, thanks.

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