Mathematics
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OpenStudy (aravindg):
ishaan
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OpenStudy (anonymous):
aravind post your question
OpenStudy (aravindg):
wel i need to prove this::
prove that a triangle whose vertices ae z1,z2 and z3 is equilateral iff z1^2+z2^2+z3^2^2-z1z2-z2z3-z3z1=0
OpenStudy (aravindg):
how??
OpenStudy (aravindg):
note z1,z2,z3 are complex numbers
OpenStudy (anonymous):
Hmm Okay let me think about it
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OpenStudy (aravindg):
k
OpenStudy (anonymous):
\[z_1^2+z_2^2+z_3^{2}-z_1z_2-z_2z_3-z_3z_1=0\]
Is this what we are supposed to prove?
OpenStudy (aravindg):
yes
OpenStudy (anonymous):
wow
OpenStudy (anonymous):
Okay\[(z_1 + z_2 +z_3)^2 = 3(z_1z_2 + z_2z_3+z_3z_1)\]
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OpenStudy (anonymous):
\[z_1 z_2 + z_2z_3 +z_3z_3 \ge 0 \]
OpenStudy (anonymous):
Now I need to think more lol
OpenStudy (aravindg):
hey ihave hint
OpenStudy (aravindg):
ishaan???
OpenStudy (anonymous):
yeah
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OpenStudy (aravindg):
click the link
OpenStudy (aravindg):
...........
OpenStudy (aravindg):
2.If 2 triangles whose vertices are z1,z2,z3 and w1,w2,w3 are similiar prove that
w1(z2-z3)+w2(z3-z1)+w3(z1-z2)=0
OpenStudy (aravindg):
HELP
OpenStudy (anonymous):
are those verticess complex
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OpenStudy (aravindg):
yes
OpenStudy (anonymous):
i hate prove that questions,
kya milega prove karne se?
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
aravind ko marks (aravind ka assignment hai na) ;-)