anonymous
  • anonymous
Find the length of the missing side.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
@FutureMathProfessor Please help! Given reward if so!
anonymous
  • anonymous
|dw:1370548165122:dw|

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anonymous
  • anonymous
|dw:1370548310040:dw|
Jhannybean
  • Jhannybean
oh my goodness. lol.
anonymous
  • anonymous
\[a ^{2}+b ^{2}=c ^{2}\] \[8 ^{2}+15 ^{2}=x ^{2}\] \[64+225=x ^{2}\] \[x ^{2}=289\] \[x=\sqrt{289}\] \[x=17\]
anonymous
  • anonymous
@mitodoteira Can you please help with one more?
anonymous
  • anonymous
Okay
Jhannybean
  • Jhannybean
Aww that's not being a good sport.
anonymous
  • anonymous
The question didn't ask for x, should be 17^2 or 289
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anonymous
  • anonymous
Emily, what is the other question?
Jhannybean
  • Jhannybean
the length of the missing side would be what @arafatx mentioned. You can always plug it back in to the pythagorean identity to check your answer. a^2 +b^2 = c^2 (15)^2 + (8)^2 = (sqrt (289))^2 225 + 64 = 289
anonymous
  • anonymous
is that for the second one?
Jhannybean
  • Jhannybean
and for that question,you have a 45-45-90 triangle, therefore your proportions are 1:1:1*sqrt(2) By that i mean both of your base legs are the same and to find the hypotenuse you're going to multiply your base leg * sqrt(2)
Jhannybean
  • Jhannybean
b1 = 12, b2 = 12, hypotenuse = b1*sqrt(2)
anonymous
  • anonymous
Since
anonymous
  • anonymous
you guys are giving me 2 different answers. Which is it?
anonymous
  • anonymous
12*sqrt(2) is about equal to 17
Jhannybean
  • Jhannybean
@mitodoteira c^2 = a^2 + b^2 take x = 17, c=x (17)^2 = (12)^2 + (12)^2 289 = 288 nope.
anonymous
  • anonymous
That's because I'm rounding. The actual answer is irrational. If you look at my answer, I gave the answer to a few decimal places as well.
Jhannybean
  • Jhannybean
whereas we take c = 12sqrt(2) c^2= a^2 + b^2 (12sqrt(2))^2 = (12)^2 + (12)^2 288 = 288 You DO NOT round when finding lengths.
anonymous
  • anonymous
I gave the true answer, as well as the rounded one in case she needed it for something (I was often asked to give the answer to n decimal places instead of the exact answer).
Jhannybean
  • Jhannybean
the "true" answer is 12* sqrt(2) according to the 45-45-90 degree triangle.
anonymous
  • anonymous
Yes, it is. I don't see what the problem is.

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