Mathematics
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OpenStudy (anonymous):
a triangle has side lenths of 9cm, 40cm, 41cm, show mathematicly that it is a right angled triangle
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OpenStudy (anonymous):
do u know pythagores theorem
??????????
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
just apply that
OpenStudy (anonymous):
but i dont know how to explain
OpenStudy (unklerhaukus):
the hypotenuse it the longest side of the triangle
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OpenStudy (anonymous):
prove lhs = rhs
H^2=P^2+B^2
OpenStudy (anonymous):
where H is hypotenuse P prpendicular B base
OpenStudy (anonymous):
i dont understand
OpenStudy (anonymous):
what is H here?
OpenStudy (anonymous):
41 cm
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
then H^2=?
OpenStudy (anonymous):
whats the triangle thing
OpenStudy (anonymous):
its representation of square
OpenStudy (anonymous):
oh okay
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OpenStudy (anonymous):
since there is no small subscript
OpenStudy (anonymous):
@UnkleRhaukus how to show squre of a no?
OpenStudy (unklerhaukus):
```
\[H^2=P^2+B^2\]
```
\[H^2=P^2+B^2\]
OpenStudy (unklerhaukus):
\[41^2=41\times41\\=(40+1)\times(40+1)\\=40(40+1)+1(40+1)\\=\]
OpenStudy (anonymous):
ohk u r genius :)
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OpenStudy (anonymous):
a^2 + b^2 = c^2 (c is the hypotenuse)
9^2 + 40^2 = 41^2
81 + 1600 = 1681
1681 = 1681 (correct)
OpenStudy (unklerhaukus):
40(40+1)+1(40+1)
=1600+40+40+1
=1681