MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi test

Learn moreOpportunities for recent engineering grads.

Apply TodayA sequence of triangles is constructed in the following way:

1) the first triangle is Pythagoras' 3-4-5 triangle

2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle

3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.

Each triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.

What is the area of a square whose side is the hypotenuse of the nth triangle in the sequence?

505 correct solutions
470 incorrect solutions

Last solution submitted on Jun 21, 2016

26 players like this problem

1 Comment

Carlos Zúñiga
on 9 Mar 2016

Its the best way that I found :)

1 Comment

Raphael
on 20 Mar 2014

I consider my answer as a cheat

1 Comment

Jon
on 3 Feb 2014

yes, this is probably cheating

11 Comments