Apr 9, 2014 #1 Albert1 Messages 1,221 Reaction score 0 View attachment 2266 Attachments geometry proof.JPG 14.7 KB · Views: 113
Apr 12, 2014 #2 Albert1 Messages 1,221 Reaction score 0 Albert said: https://www.physicsforums.com/attachments/2266 Spoiler let area of $\triangle 1=$ area of $\triangle 2=t$ and area of $\triangle 3=1$ then area of $\triangle 4=t^2$ we have area of $\triangle 3 +$ area of $ \triangle 4=t^2+1 \geq$ area of $\triangle 1+$ area of $\triangle 2=2t$ $(AP\geq GP)$
Albert said: https://www.physicsforums.com/attachments/2266 Spoiler let area of $\triangle 1=$ area of $\triangle 2=t$ and area of $\triangle 3=1$ then area of $\triangle 4=t^2$ we have area of $\triangle 3 +$ area of $ \triangle 4=t^2+1 \geq$ area of $\triangle 1+$ area of $\triangle 2=2t$ $(AP\geq GP)$