Which construction rule is followed to form each new right triangle in a square root spiral?

Correct answer: A new unit segment is drawn perpendicular to the previous hypotenuse.

At each step, a unit segment is added perpendicular to the previous hypotenuse, creating a right triangle. By Pythagoras,

g(

gsqrt{n})^2+1^2=n+1, so the next hypotenuse is

gsqrt{n+1}. Exam tip: look for “perpendicular” and “unit length.”