If a and b are two sides of a right triangle, find the length of the hypotenuse, c.
a=8, b=4, c=?
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OpenStudy (anonymous):
so do you know the formula?
OpenStudy (anonymous):
a^2 + B^2=c^2
OpenStudy (anonymous):
heck no
OpenStudy (anonymous):
oh
OpenStudy (purplemexican):
8^2+4^2=c^2 youll want to \[\sqrt{c}\]
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OpenStudy (anonymous):
do whaa
OpenStudy (anonymous):
so just plug a and b in and then you take the square root of c
OpenStudy (anonymous):
how
do you do that
OpenStudy (anonymous):
so 80?
pooja195 (pooja195):
This is called the Pythagorean theorem
\[\huge~\rm~a^2+b^2=c^2\]
|dw:1439387408714:dw|
\[\huge~\rm~8^2+4^2=c^2\]
\[\huge~\rm~64+16=c\]
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pooja195 (pooja195):
Once you find 64+16 just square root it
OpenStudy (anonymous):
yes then you take the square root of that
OpenStudy (anonymous):
i dont know how to square root haha that is why i need help
pooja195 (pooja195):
whats 64+16?
OpenStudy (purplemexican):
\[8^2+4^2=c^2\ or \sqrt{80}\]
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pooja195 (pooja195):
right you might need to use a calc for that when you do
you get a decimal
\[\huge~\rm~8.944272 \]
pooja195 (pooja195):
From there just take the first 3 numbers
pooja195 (pooja195):
so about 8.94
OpenStudy (anonymous):
or you could simplify 80.
OpenStudy (anonymous):
so 9?
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pooja195 (pooja195):
\(\color{#0cbb34}{\text{Originally Posted by}}\) @pooja195
so about 8.94
\(\color{#0cbb34}{\text{End of Quote}}\)
this
OpenStudy (anonymous):
guys this is a multiple choice and the answers aern't numbers like that
OpenStudy (anonymous):
\[\sqrt{16+5}=4\sqrt{5}\]
OpenStudy (anonymous):
that is the answer
pooja195 (pooja195):
@kylefoster58 it would help if u put the answer choices
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OpenStudy (anonymous):
sorry haha
OpenStudy (lfreeman1285):
Here you use the Pythagorean theorem which is a^2 + b^2 = c^2
a and b are the legs of the triangle while c is the hypotenuse.
All you have to do is fill in the variables and solve for c.
Therefore, (8)^2 + (4)^2 = c^2
64 + 16 = 80
But because 80 is c^2, you have to square root it.
\[\sqrt{80}\] = \[4\sqrt{5}\] and that's your final answer.
pooja195 (pooja195):
^thats right
OpenStudy (anonymous):
its D.
OpenStudy (anonymous):
4 square root of 5 right
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