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Mathematics 9 Online
OpenStudy (aravindg):

ishaan

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

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\[(z_1 + z_2 +z_3)^2 = 3(z_1z_2 + z_2z_3+z_3z_1)\]

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

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

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) ;-)

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