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Pythagoras Theorem

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhile constructing the next triangle after \(\sqrt{7}\) in a square root spiral, a student takes the other perpendicular side as \(\sqrt{7}\) units. Which statement correctly fixes the error?Class 9Number SystemsSquare root spiralMediumMathematicsIn a square root spiral, a 1-unit perpendicular side is added to the previous hypotenuse, and the new hypotenuse represents the next square root. Which theorem is this conclusion based on?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, a student adds a new perpendicular side of length 1 unit to the previous hypotenuse to form each right triangle. Which statement about the hypotenuse of the next triangle is correct?Class 9Number SystemsSquare root spiralMediumMathematicsIn the construction of a square root spiral, which feature connects each new right triangle to the preceding triangle?Class 9Number SystemsSquare root spiralMediumMathematicsWhich of the following statements is correct about the construction of a square root spiral?Class 9Number SystemsSquare root spiralMediumMathematicsIn a square root spiral, what length of new perpendicular is drawn to the previous hypotenuse to form each new right triangle?Class 9Number SystemsSquare root spiralMediumMathematicsWhat is the main reason that the successive hypotenuses in a square root spiral have lengths \(\sqrt{2}, \sqrt{3}, \sqrt{4}\), and so on?Class 9Number SystemsSquare root spiralMediumMathematicsA student constructs \(\sqrt{13}\) on a square root spiral by drawing a perpendicular segment of length 1 at the point for \(\sqrt{12}\) and joining its end to the origin. Why is this reasoning correct? What is the square of the new hypotenuse?Class 9Number SystemsSquare root spiralMediumMathematicsWhich sequence is represented by the lengths of successive hypotenuses in a standard square root spiral?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, a student uses 2 cm instead of 1 cm as the perpendicular side of every new right triangle. Which conclusion about the figure is correct?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, a student says that to obtain \(\sqrt{8}\) after \(\sqrt{7}\), a perpendicular of length 1 should be drawn to the previous hypotenuse \(\sqrt{7}\). What is the status of the student's statement?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, Riya draws a perpendicular segment of length 1 unit at the end of the previous hypotenuse of length \(\sqrt{8}\). She considers the new hypotenuse to be \(\sqrt{10}\). What should the correct new hypotenuse be?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, which rule does each new right triangle follow?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, Arun says that to obtain \(\sqrt{n+1}\), one should directly add 1 to the previous hypotenuse \(\sqrt n\). Which statement correctly explains his error?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, what length of perpendicular side is added to the hypotenuse of the previous triangle to form each new right triangle?Class 9Number SystemsSquare root spiralMediumMathematicsIn a square root spiral, which side is added to the previous side to form each new right-angled triangle?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, a student says that the point for \(\sqrt{10}\) will be 10 units away from the origin. What is the correct correction to this error?Class 9Number SystemsSquare root spiralMediumMathematicsWhich statement is correct about the new right triangle representing \(\sqrt{n}\) in a square root spiral?Class 9Number SystemsSquare root spiralMediumMathematicsIn a square root spiral, Reema took the distance from the initial point to the point representing \(\sqrt{16}\), drew a perpendicular segment of length 1 unit there, and joined its new endpoint to the initial point. Which statement about her construction is correct?Class 9Number SystemsSquare root spiralMediumMathematicsWhile constructing a square root spiral, Aarav draws every new side of length 1 perpendicular to the initial line segment instead of the previous hypotenuse. What is the main error in his construction?Class 9Number SystemsSquare root spiralMedium

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