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Question Number 4612 by Rasheed Soomro last updated on 14/Feb/16

Commented by Rasheed Soomro last updated on 14/Feb/16

 A  triangle divides  its  circum-circle in three arcs  say  c_1 ,c_2 ,c_3 . Find out   c_1 :c_2 :c_3  , when sides of the  triangle are e,f & g.

$$\:{A}\:\:{triangle}\:{divides}\:\:{its} \\ $$$${circum}-{circle}\:{in}\:{three}\:{arcs} \\ $$$${say}\:\:\boldsymbol{\mathrm{c}}_{\mathrm{1}} ,\boldsymbol{\mathrm{c}}_{\mathrm{2}} ,\boldsymbol{\mathrm{c}}_{\mathrm{3}} .\:{Find}\:{out}\: \\ $$$$\boldsymbol{\mathrm{c}}_{\mathrm{1}} :\boldsymbol{\mathrm{c}}_{\mathrm{2}} :\boldsymbol{\mathrm{c}}_{\mathrm{3}} \:,\:{when}\:{sides}\:{of}\:{the} \\ $$$${triangle}\:{are}\:\boldsymbol{\mathrm{e}},\boldsymbol{\mathrm{f}}\:\&\:\boldsymbol{\mathrm{g}}. \\ $$$$ \\ $$

Commented by Yozzii last updated on 14/Feb/16

c_i  are areas?

$$\boldsymbol{\mathrm{c}}_{\boldsymbol{\mathrm{i}}} \:\mathrm{are}\:\mathrm{areas}? \\ $$

Commented by Rasheed Soomro last updated on 14/Feb/16

c_1 ,c_2 ,c_3  are arcs.

$$\boldsymbol{\mathrm{c}}_{\mathrm{1}} ,\boldsymbol{\mathrm{c}}_{\mathrm{2}} ,\boldsymbol{\mathrm{c}}_{\mathrm{3}} \:{are}\:{arcs}. \\ $$

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