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Question Number 27942 by beh.i83417@gmail.com last updated on 17/Jan/18

Commented by beh.i83417@gmail.com last updated on 17/Jan/18

$$\mathrm{\angle }A={60}^{°},AB=c,AC=b,BC=a$$$$drawtangentlinesfrom:BandC,tocircle,$$$$suchthat:\mathrm{\angle }FBC=\mathrm{\angle }FCB.$$$$1)findradius\mathit{r}intermsof:\mathit{a},\mathit{b},\mathit{c}.$$$$2)\mathit{i}\mathit{s}itpossiblefor:\mathrm{\angle }BFC={90}^{\bullet }?$$$$$$

Answered by ajfour last updated on 17/Jan/18

$$1)\mathit{r}isindependentof\mathit{a},\mathit{b},\mathit{c}.$$$$2)yes.$$

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