In his 1947 book, One, Two, Three...Infinity,
physicist George Gamow poses a pirate treasure problem that has since become a classic. Below is my reworded statement of the puzzle.
Among a pirate's belongings you find the following note:
The island where I buried my treasure contains a single palm tree. Find the tree. From the palm tree, … Continue Reading ››
The picture below on the left shows a right triangle JML
with altitude KM
. This altitude is defined as the geometric mean
. Using similar triangles, you can prove that JK
². Another way to think about this construction is shown below on the right. Start with segments JK
and … Continue Reading ››
Twitter is a great place to find geometry problems. The July 22, 2017 post of xylem
presented the image below with two squares, ABCD
sharing a vertex. Given that AE
= 5, what is the length of DG?
My first thought was that surely the problem was … Continue Reading ››