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While constructing a square root spiral, which length segment is taken as one leg of each new right triangle?

Answer and explanation

Correct answer: 1 unit

In a square root spiral, one leg of every new right triangle is fixed at 1 unit, while the other leg is the previous hypotenuse. For example, after \(\sqrt{5}\), the next hypotenuse is \(\sqrt{5+1}=\sqrt{6}\). Exam tip: remember that the fixed leg is always 1 unit.

Related tags

Number SystemsSquare Root SpiralRight TrianglesPythagoras TheoremIrrational NumbersMathematicsClass 9 Mcq

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