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Subjects
Class 9MathematicsNumber SystemsSquare root spiralEasy
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In a square root spiral, each new hypotenuse is formed from the previous hypotenuse and which side?

Answer and explanation

Correct answer: (1) unit perpendicular side

At each step, the previous hypotenuse becomes one side and (1) unit perpendicular is the other side. The new hypotenuse gives the next square root.

Related tags

Number-SystemsSquare-Root-SpiralStructureSquare Root SpiralNumber SystemsMathematicsClass 9 Mcq
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10 more MCQs
  1. 1In a square root spiral, which segment is drawn at the end of the previous hypotenuse to form a new right triangle?
  2. 2In a square root spiral, what is the hypotenuse of the first right triangle made with base (1) unit and perpendicular (1) unit?
  3. 3If a perpendicular of length 1 unit is drawn at the end of a hypotenuse of length √2, what will be the length of the next hypotenuse?
  4. 4In a square root spiral, after the hypotenuse (\sqrt{3}), which length is obtained by adding a (1) unit perpendicular?
  5. 5Each new triangle in a square root spiral is of which type?
  6. 6In a square root spiral, how long is the new perpendicular side usually kept in each new triangle?
  7. 7Which theorem is mainly used to find the hypotenuse in a square root spiral?
  8. 8Why is each new 1-unit line segment drawn perpendicular to the previous hypotenuse in a square root spiral?
  9. 9Starting from (\sqrt{1}) in a square root spiral, which is the third hypotenuse?
  10. 10In a square root spiral, the line segment representing \(\sqrt{7}\) lies between which two consecutive whole numbers?
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