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OpenStudy (anonymous):
What is the length of the unknown side of the right triangle?
A right triangle with hypotenuse x and legs 21 and 20
21
29
400
441
OpenStudy (astrophysics):
Use the pythagorean theorem as before
OpenStudy (astrophysics):
Now you set it up
OpenStudy (anonymous):
can i see the formula again?
OpenStudy (astrophysics):
\[a^2+b^2=c^2\]
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OpenStudy (anonymous):
so in the Pythagorean Theorem, \[a ^{2}+b ^{2}=c ^{2}\] where the a and b represent the legs of the triangle, and c is the hypotenuse
OpenStudy (anonymous):
21^2+20^2=
OpenStudy (anonymous):
correct
OpenStudy (astrophysics):
Yes good! so you have \[21^2+20^2 = x^2\]
OpenStudy (astrophysics):
Keep going :)
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OpenStudy (anonymous):
ok 21*21 right?
OpenStudy (anonymous):
yes, do 21*21, and 20*20
OpenStudy (anonymous):
then add them up
OpenStudy (astrophysics):
Yup
OpenStudy (anonymous):
to get part of your answer
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OpenStudy (anonymous):
kk 441+400=
OpenStudy (astrophysics):
Good, keep going
OpenStudy (anonymous):
then, you must find the square root of that "part of the answer"
OpenStudy (anonymous):
so find the square root of 841
OpenStudy (anonymous):
ok 29? XD
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OpenStudy (astrophysics):
Ok well since you said square root already haha, I will show you why exactly we take the square root, via algebra. |dw:1438607451660:dw| when you take the square root we have a positive and negative answer but you don't need to really worry about that, that's the algebra behind it.