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Pythagorean Theorem

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

MathematicsAt which step does the new hypotenuse become equal to \(2\sqrt{3}\)?Class 9Number SystemsSquare root spiralExpert MathematicsIf a unit perpendicular is added to the radius \( \sqrt{24} \), the new hypotenuse will be closest to which integer?Class 9Number SystemsSquare root spiralExpert MathematicsIf a unit perpendicular is added to the radius \( \sqrt{14} \) to form a new hypotenuse, what is the ratio of the squares of the new and old hypotenuses?Class 9Number SystemsSquare root spiralExpert MathematicsIn a square root spiral, if OPₙ = √n, what length is kept for PₙPₙ₊₁?Class 9Number SystemsSquare root spiralEasy MathematicsWhich option explains why √2 is obtained as the first hypotenuse?Class 9Number SystemsSquare root spiralEasy MathematicsWhich option gives a correct equation for one step of the spiral?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, if OP = √35 and the new segment PQ = 1 is perpendicular to the previous hypotenuse, what is the length of OQ?Class 9Number SystemsSquare root spiralMedium MathematicsWhich property correctly describes the construction of each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralExpert MathematicsIn a square root spiral, when a perpendicular segment of length 1 is added at the end of the previous hypotenuse at each step, which statement about the new hypotenuse is correct?Class 9Number SystemsSquare root spiralExpert MathematicsIf a perpendicular of 1 unit is drawn on the hypotenuse √3, which number will the new hypotenuse represent?Class 9Number SystemsSquare root spiralExpert MathematicsIf \(OP=\sqrt{15}\), \(PQ=1\), and (PQ \perp OP), what is the value of \(OQ^2\)?Class 9Number SystemsSquare root spiralExpert MathematicsIf a 1-unit perpendicular is drawn on the hypotenuse √10403 in a square-root spiral, what will be the new hypotenuse and its exact value?Class 9Number SystemsSquare root spiralHard MathematicsWhich option is logical for finding the next hypotenuse from \(\sqrt{132}\) in a square root spiral?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, which hypotenuse is formed by drawing a (1) unit perpendicular on \(\sqrt{3024}\)?Class 9Number SystemsSquare root spiralHard MathematicsIf the next hypotenuse is formed from \(\sqrt{1935}\) in a square root spiral, which combined conclusion is correct?Class 9Number SystemsSquare root spiralHard MathematicsIf a (7) unit perpendicular is used instead of (1) unit in the usual square root spiral, what will be the hypotenuse formed from \(\sqrt{n}\)?Class 9Number SystemsSquare root spiralHard MathematicsIf the new hypotenuse in a square root spiral is equal to (40), which hypotenuse came immediately before it?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, what is the exact value of \(\sqrt{4096}\), and what is the form of the next hypotenuse?Class 9Number SystemsSquare root spiralHard MathematicsIf an 8-unit perpendicular is drawn on √n in the usual square root spiral setup, what form will the formed hypotenuse have?Class 9Number SystemsSquare root spiralHard MathematicsWhich option is logical for finding the next hypotenuse from \(\sqrt{72}\) in a square root spiral?Class 9Number SystemsSquare root spiralHard