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In a square root spiral, if both perpendicular sides of the first right triangle are (1) unit, what will be the hypotenuse?

Answer and explanation

Correct answer: \(\sqrt{2}\)

The two perpendicular sides of the first right triangle are 1 unit each. By Pythagoras’ theorem, hypotenuse² = 1² + 1² = 2, so the hypotenuse is \(\sqrt{2}\) units. Note that 2 is the square of the hypotenuse, not the hypotenuse itself. Exam tip: To find the hypotenuse of a right triangle, add the squares of the perpendicular sides and take the square root.

Related tags

Number SystemsSquare Root SpiralRight TrianglePythagoras TheoremSquare RootsMathematicsClass 9 Mcq

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