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A triangle with vertices $A,B,C$ with coordinates $\left(2,\frac{1}{2}\right)$, $\left(4,\frac{1}{4}\right)$, $\left(3,\frac{1}{3}\right)$ has orthocentre at $H$.  Find the coordinates of $H$.

 Jan 28, 2021
 #1
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We're going to find the average of everything. (2+4+3)/3 = 3   (1/2 + 1/4 + 1/3)/3 = 13/36. 

 

So our center is (3, 13/36)

I hope this helped. :)))

 

=^._.^=

 Jan 28, 2021
 #2
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The orthocenter for that triangle is somewhere in the third quadrant. laugh

Guest Jan 28, 2021
 #3
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corrections:  of instead of for cheeky

Guest Jan 28, 2021

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