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Question Number 83102 by ajfour last updated on 28/Feb/20

Commented by ajfour last updated on 28/Feb/20

Find side s of largest equilateral  △ABC whose vertices lie on  three circles of radii p,q,r touching  each other externally.

$$\mathrm{Find}\:\mathrm{side}\:\boldsymbol{\mathrm{s}}\:\mathrm{of}\:\mathrm{largest}\:\mathrm{equilateral} \\ $$$$\bigtriangleup\mathrm{ABC}\:\mathrm{whose}\:\mathrm{vertices}\:\mathrm{lie}\:\mathrm{on} \\ $$$$\mathrm{three}\:\mathrm{circles}\:\mathrm{of}\:\mathrm{radii}\:\mathrm{p},\mathrm{q},\mathrm{r}\:\mathrm{touching} \\ $$$$\mathrm{each}\:\mathrm{other}\:\mathrm{externally}. \\ $$

Commented by mr W last updated on 28/Feb/20

a very hard question...

$${a}\:{very}\:{hard}\:{question}... \\ $$

Commented by ajfour last updated on 29/Feb/20

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