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Question-49430




Question Number 49430 by behi83417@gmail.com last updated on 06/Dec/18
Commented by behi83417@gmail.com last updated on 07/Dec/18
DA^� E=𝛉,AD=r   .  there is two equilateral triangles,   inscribed in circle ,one vertex on   point:C and two anothers locate on  circle′s  premeter.[one side⊥BC]  find side of this triangels in terms  of :r ,𝛉 .  [C,is the midpoint of :ED and B,A,C  are collinear.]
$${D}\overset{} {{A}E}=\boldsymbol{\theta},{AD}=\boldsymbol{{r}}\:\:\:. \\ $$$${there}\:{is}\:{two}\:{equilateral}\:{triangles}, \\ $$$$\:{inscribed}\:{in}\:{circle}\:,{one}\:{vertex}\:{on}\: \\ $$$${point}:{C}\:{and}\:{two}\:{anothers}\:{locate}\:{on} \\ $$$${circle}'{s}\:\:{premeter}.\left[{one}\:{side}\bot{BC}\right] \\ $$$${find}\:{side}\:{of}\:{this}\:{triangels}\:{in}\:{terms} \\ $$$${of}\::\boldsymbol{{r}}\:,\boldsymbol{\theta}\:. \\ $$$$\left[{C},{is}\:{the}\:{midpoint}\:{of}\::{ED}\:{and}\:{B},{A},{C}\right. \\ $$$$\left.{are}\:{collinear}.\right] \\ $$

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