CHALLENGE QUESTION 5 The vertices of a triangle are (1,0,0),(0,\(\cfrac{1}{\sqrt{2}}\), 0), (0,0,\(\cfrac{1}{\sqrt{3}}\)). If its orthocentre is (\(\alpha,\beta,\gamma\)), then \(\large{(\alpha\beta\gamma)^{\huge{\frac{-2}{5}}}}\) is the answer ranges from 0 to 9...
@waterineyes
The vertices of a triangle are (1,0,0),(0,\(\cfrac{1}{\sqrt{2}}\), 0), (0,0,\(\cfrac{1}{\sqrt{3}}\)). If its orthocentre is (\(\alpha,\beta,\gamma\)), then \(\large{(\alpha\beta\gamma)^{\huge{\frac{-2}{5}}}}\) is the answer ranges from 0 to 9... This is the question
It should be divided by 3..
I think I am getting: \[\color{green}{3 \times \sqrt[5]{18}}\]
How did u get that @completeidiot
\(\huge\color{green}{3 \times\sqrt[5]{18}}\)
This is more clearly visible !!
Random guess or any trick...... ?
Orthocenter is given by Average of the respective coordinates.
no........... @waterineyes
my method was incorrect, ignore it
that is what we call centroid @waterineyes
All right @completeidiot
Oh Then messed up sorry..
np
Here we have to do more..
that's why it is a challenge problem :)
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