While constructing a square root spiral, a student adds a new perpendicular side of length 1 unit to the previous hypotenuse to form each right triangle. Which statement about the hypotenuse of the next triangle is correct?

Correct answer: इसका वर्ग पिछली कर्ण के वर्ग से 1 अधिक होता है।

By Pythagoras’ theorem, \(h_{new}^2=h_{old}^2+1^2\). Thus, the square of the new hypotenuse increases by 1, giving \(\sqrt2,\sqrt3,\sqrt4\) in order. Exam tip: write the squares first to avoid adding lengths directly.