Question Number 148532 by cherokeesay last updated on 28/Jul/21

Answered by mr W last updated on 29/Jul/21

Commented bymr W last updated on 29/Jul/21

R=6 cm  DG=(√2)r+r=R  ⇒r=(R/( (√2)+1))=((√2)−1)R  DF=(R/( (√2)))=(((√2)R)/2)  CF=DF−(√2)r=(((√2)R)/2)−(2−(√2))R=(((3(√2))/2)−2)R  AF=(√(r^2 −(((3(√2))/2)−2)^2 R^2 ))  AF=R(√(((√2)−1)^2 −(((3(√2))/2)−2)^2 ))  AF=(1/2)R(√(16(√2)−22))  AB=2AF=(√(16(√2)−22))R≈0.792R≈4.753

Commented bycherokeesay last updated on 29/Jul/21

I would also like to share my solution !  thank you a lot mr W !

Commented byTawa11 last updated on 29/Jul/21

Nice sir. Thanks.