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OpenStudy (sbuck98):
OpenStudy (astrophysics):
\[a^2+b^2 = c^2\] this is pythagorean theorem |dw:1455239929469:dw|
OpenStudy (igreen):
Like it says, use the Pythagorean theorem.
\(\sf a^2 + b^2 = c^2\)
Where 'a' and 'b' are the two legs, and 'c' is the hypotenuse.
Plug the numbers in and simplify.
pooja195 (pooja195):
@sbuck98 have you figured it out or are you stuck?
OpenStudy (astrophysics):
\[a^2+b^2 = c^2 \implies (5)^2 + (12)^2 = c^2 \] do you know how to solve for c?
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OpenStudy (sbuck98):
I'm still stuck:(
pooja195 (pooja195):
5^2=5*5 = ?
OpenStudy (sbuck98):
25
OpenStudy (astrophysics):
Hint: \[x^2 = stuff \implies \sqrt{(x)^2} = \sqrt{stuff} \implies x = \sqrt{stuff}\] we'll stay away from plus/ minus for now :P
pooja195 (pooja195):
12^2=12*12=?
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OpenStudy (anitas.):
\[a^2+b^2=c^2
5^2+12^2==c^2
25+144=c^2\]
then subtract 144 from 25 and you get ur answer
pooja195 (pooja195):
@sbuck98 ?
OpenStudy (sbuck98):
so it's 119?
pooja195 (pooja195):
Nope
12 x 12=?
OpenStudy (sbuck98):
144
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pooja195 (pooja195):
Good
25+144= ?
OpenStudy (sbuck98):
169
pooja195 (pooja195):
Perf now to isolate the c
\[\huge~\rm~\bf~\sqrt{c^2}=\sqrt{169}\]
OpenStudy (sbuck98):
25
OpenStudy (anitas.):
oops sorry i meant add lol
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pooja195 (pooja195):
not quite what's the square root of 169?
pooja195 (pooja195):
If you can't figure it out break it into factors
what numbers multiply to make 169?
OpenStudy (sbuck98):
84
pooja195 (pooja195):
nope...
12 x 12=144 right?
169 is a perfect square
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