Question Number 197989 by mr W last updated on 07/Oct/23
Commented by mr W last updated on 07/Oct/23
![[old question from ajfour sir] 3 circles with radii p, q, r respectively touch each other as shown. find the maximum area of triangle ΔABC with vertexes on each of the circles.](https://www.tinkutara.com/question/Q197990.png)
$$\left[\underline{{old}\:{question}\:{from}\:{ajfour}\:{sir}}\right] \\ $$$$\mathrm{3}\:{circles}\:{with}\:{radii}\:{p},\:{q},\:{r}\:{respectively} \\ $$$${touch}\:{each}\:{other}\:{as}\:{shown}.\:{find}\:{the}\: \\ $$$${maximum}\:{area}\:{of}\:\:{triangle}\:\Delta{ABC} \\ $$$${with}\:{vertexes}\:{on}\:{each}\:{of}\:{the}\:{circles}. \\ $$