Content
7 similar triangles are arranged side by side in a clockwise spiral. The shortest side of each triangle forms the hypotenuse of the next triangle . Each triangle is isosceles and has a right angle. The lengths of the hypotenuses are l, l2, l3… where 0<l<1.
Powered by Desmos
Show that l2=21.
Find the total area of the 7 triangles, giving your answer in the form 2m2n−k where n,k and m∈N.
Ask Plex AI about this problem
Get hints, ask questions, and work through this problem step by step