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In a square root spiral, the line segment representing \(\sqrt{5}\) is the hypotenuse of which type of triangle?

Answer and explanation

Correct answer: A right-angled triangle with the other two sides \(2\) and \(1\)

In a square root spiral, each new hypotenuse is formed using the previous hypotenuse and a perpendicular unit side. Thus, \(\sqrt{5}\) comes from legs \(2\) and \(1\), since \(2^2+1^2=5\). Exam tip: the hypotenuse lies opposite the right angle.

Related tags

Number SystemsSquare Root SpiralPythagoras TheoremIrrational NumbersGeometryMathematicsClass 9 Mcq

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