Problem 510: Triangle, Three Squares, Midpoints, Concurrency, Mind Map. Level: High School, College, SAT Prep.
The drawing shows the squares ABDE, BCFG, and ACHJ. The points K, M, and N are the midpoint of EJ, DG, and FH, respectively. Prove that KA, MB, and NC are concurrent
at a point P.
Mind Map: "How to Solve It, A new aspect of Mathematical Method"
George Pólya's 1945 book "How to Solve It, A new aspect of Mathematical Method", is a book describing methods of problem solving. It suggests the following steps when solving a mathematical problem:
(1) First, you have to understand the problem.
(2) After understanding, then make a plan.
(3) Carry out the plan.
(4) Look back on your work. How could it be better?
Mind Map Help. To see a note: Hover over a yellow note button. To Fold/Unfold: click a branch. To Pan: click and drag the map canvas.