Provide detailed instructions how to construct a right triangle with edge lengths in geometric progression.
I am happy because when I heard he word "construct" I too had the thought that this was a ruler, compass, and pencil problem. I knew of these but didn't trust that it was this type of problem. Also, it is a 2-parter: find the numbers you need and then find the construction methods.
I am pleased because until now I did not know the method of taking square roots this way. Very cool.
Also note - the solution calls for taking the square root of a square too!
Edited on September 7, 2018, 1:41 am