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Question Number 19668 by Joel577 last updated on 14/Aug/17

Commented by Joel577 last updated on 15/Aug/17

An equateral triangle with side lenght  d. Circle L_1  touching ΔABC at A and B.  Circle L_2  touching AC, BC, and L_1   Find the radius of circle L_2

$$\mathrm{An}\:\mathrm{equateral}\:\mathrm{triangle}\:\mathrm{with}\:\mathrm{side}\:\mathrm{lenght} \\ $$$${d}.\:\mathrm{Circle}\:{L}_{\mathrm{1}} \:\mathrm{touching}\:\Delta{ABC}\:\mathrm{at}\:{A}\:\mathrm{and}\:{B}. \\ $$$$\mathrm{Circle}\:{L}_{\mathrm{2}} \:\mathrm{touching}\:{AC},\:{BC},\:\mathrm{and}\:{L}_{\mathrm{1}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{circle}\:{L}_{\mathrm{2}} \\ $$

Commented by IT last updated on 14/Aug/17

Please type the complete question in  English.

$$\mathrm{Please}\:\mathrm{type}\:\mathrm{the}\:\mathrm{complete}\:\mathrm{question}\:\mathrm{in} \\ $$$$\mathrm{English}. \\ $$

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