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Question Number 37209 by ajfour last updated on 10/Jun/18

Commented by ajfour last updated on 11/Jun/18

$$Findthecircumradius\mathit{R}ofthe$$$$threecircles(ofradiia,b,c)in$$$$termsof\mathit{a},\mathit{b}.$$$$Alsogiven\mathit{c}=\frac{\mathit{a}+\mathit{b}}{2}.$$

Commented by MJS last updated on 10/Jun/18

$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{always}\mathrm{possible}.\mathrm{the}\mathrm{circumcircle}$$$$\mathrm{can}\mathrm{be}\mathrm{a}\mathrm{straight}\mathrm{line}\mathrm{or}\mathrm{a}\mathrm{circle}\mathrm{touching}$$$$\mathrm{the}\mathrm{three}\mathrm{given}\mathrm{circles}\mathrm{from}\mathrm{ourside}\mathrm{without}$$$$\mathrm{including}\mathrm{them}.\mathrm{just}\mathrm{imagine}a\mathrm{getting}\mathrm{smaller}$$$$\mathrm{in}\mathrm{your}\mathrm{picture}$$

Commented by ajfour last updated on 11/Jun/18

$$Ihaveeditedthequestion,Sir.$$

Answered by MJS last updated on 16/Jun/18

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