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Pythagoras Theorem

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MathematicsIn a square root spiral, the line segment representing \(\sqrt{5}\) is the hypotenuse of which type of triangle?Class 9Number SystemsSquare root spiralEasy MathematicsWhich property is used to construct each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, a student takes the previous hypotenuse as one side and 1 unit as the other side of each new right triangle. If the previous hypotenuse is \(\sqrt{5}\) units, what will be the length of the new hypotenuse?Class 9Number SystemsSquare root spiralEasy MathematicsIn constructing a square root spiral, how is each new right triangle connected to the previous triangle?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, Reena makes each new right triangle with one leg of 1 unit and the other leg equal to the previous hypotenuse. If the previous hypotenuse is \(\sqrt{7}\) units, what is the length of the new hypotenuse?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, which feature of each new right triangle makes it represent the square root of the next natural number?Class 9Number SystemsSquare root spiralEasy MathematicsWhile drawing a square root spiral, a student adds a perpendicular side at the end of the previous hypotenuse in each new right triangle. What should be the length of this new perpendicular side to extend the spiral up to \(\sqrt{10}\)?Class 9Number SystemsSquare root spiralEasy MathematicsHow is each new right triangle constructed in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what length of side is added perpendicular to the hypotenuse of the previous triangle to form each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, with which property is each new right-angled triangle constructed?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, Riya draws a perpendicular segment of length 1 unit at the end of the current hypotenuse in every new step. What is the correct mathematical reason for this?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, Rima draws a segment of length 1 unit at the endpoint of the \(\sqrt{8}\) side, perpendicular to the \(\sqrt{8}\) side. What is the length of the new hypotenuse when the new point is joined to the starting point?Class 9Number SystemsSquare root spiralEasy MathematicsWhy is a (90^\circ) angle necessary in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsHow is each new right-angled triangle constructed while making a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsHow is each new right-angled triangle constructed in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, one side of each new right-angled triangle is kept 1 unit long. Perpendicular to which part of the previous triangle is this side drawn?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, if both perpendicular sides of the first right triangle are (1) unit, what will be the hypotenuse?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, with which feature is each new right triangle constructed?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what length of perpendicular is drawn to the hypotenuse of the previous triangle to form each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, which side of the previous right-angled triangle is used to form each new triangle?Class 9Number SystemsSquare root spiralEasy