+0  
 
0
71
1
avatar

In geometry, the spiral of Theodorus (also called square root spiral, Einstein spiral or Pythagorean spiral) is a spiral composed of right triangles, placed edge-to-edge. It was named after Theodorus of Cyrene.  Which triangle has an area of 1?

 

 Dec 18, 2019
 #1
avatar+109563 
+1

Triangle   4

 

Triangle 1  hypotenuse  =sqrt (2)

Triangle 2  hypotenuse = sqrt (3)

Triangle  3 hypotenuse = sqrt (4)  = 2

 

Area of triangle 4 =    (1/2) * (  hypotenuse of  Triangle 3)  * ( 1 ) =   (1/2) *  2 * 1 =    1

 

 

cool cool cool

 Dec 18, 2019

11 Online Users