What is the length of side x? If necessary, round your answer to two decimal places.
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OpenStudy (anonymous):
posting a pic
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
OpenStudy (anonymous):
yeah i was going to say that too
OpenStudy (anonymous):
so that would be
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OpenStudy (igreen):
Pythagorean theorem.
\(a^2 + b^2 = c^2\)
Where 'a' and 'b' are the two legs, and 'c' is the hypotenuse.
We are given a leg and a hypotenuse.
Plug them in:
\(23^2 + b^2 = 31^2\)
OpenStudy (igreen):
Solve for 'b'
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
@ 23^+B^=31^
OpenStudy (anonymous):
haha didnt see you already wrote it out for me
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OpenStudy (igreen):
Simplify 23^2 and 31^2. Can you do that?
OpenStudy (anonymous):
Yeah Dude
OpenStudy (igreen):
Okay, tell me what you get.
OpenStudy (anonymous):
529 and 961
OpenStudy (igreen):
Yes, so we have:
529 + b^2 = 961
Now subtract 529 to both sies.
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OpenStudy (igreen):
*sides
OpenStudy (igreen):
b^2 = 961 - 529
What's 961 - 529?
OpenStudy (anonymous):
sorry using B-room
OpenStudy (anonymous):
$32
OpenStudy (anonymous):
432*
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OpenStudy (igreen):
Yes, so we have:
\(b^2 = 432\)
Now we find the square root of both sides:
\(b = \sqrt{432}\)
Can you find the square root of 432?