Question Number 16665 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 25/Jun/17
Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 25/Jun/17
$${ABCDE},{is}\:{regular}.'{F}'\:{is}\:{a}\:{point}\:{on} \\ $$$${cicumcircle}. \\ $$$$\left.\mathrm{1}\right){prove}\:{that}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{FD}+{FA}+{FC}={FE}+{FB} \\ $$$$\left.\mathrm{2}\right){if}:\:{DC}=\mathrm{1},{FA}=\sqrt{\mathrm{5}},{find}\:{all}\:{segments} \\ $$$${with}\:'{F}'\:{as}\:{start}\:{point}. \\ $$$$\left.\mathrm{3}\right){find}\:{all}\:{angles}\:{with}\:'{F}'\:{as}\:{vertex}. \\ $$