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Which line segment is drawn first in a square root spiral?

Answer and explanation

Correct answer: A line segment of 1 unit

A square root spiral begins with a line segment of length 1 unit. A perpendicular segment of 1 unit is then drawn at one end to form the first right triangle, whose hypotenuse is \(\sqrt{2}\). Thus, \(\sqrt{2}\) is obtained after the first construction and is not the starting segment. Exam tip: Remember that the spiral always starts with a 1-unit base.

Related tags

Square Root SpiralNumber SystemsGeometric ConstructionRight TriangleIrrational NumbersMathematicsClass 9 Mcq

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