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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।

MathematicsIf a new unit side from the √7 point gives hypotenuse √8, which theorem is this based on?Class 9Number SystemsSquare root spiralMedium MathematicsA student says that in a square-root spiral, each new radius is obtained by directly adding 1 to the previous radius. What is the correct evaluation of this statement?Class 9Number SystemsSquare root spiralExpert MathematicsIf \(OP=\sqrt{x}\) and the next hypotenuse is \(\sqrt{57}\), what is the value of (x)?Class 9Number SystemsSquare root spiralExpert MathematicsIf \(OP=\sqrt{73}\) and \(OQ=\sqrt{74}\) are consecutive hypotenuses, what is \(PQ^2\)?Class 9Number SystemsSquare root spiralExpert MathematicsIf hypotenuses are constructed up to \(\sqrt{65}\), which hypotenuse was (3) steps before the final one?Class 9Number SystemsSquare root spiralExpert MathematicsIf after (7) new steps the hypotenuse becomes \(\sqrt{29}\), what was the starting hypotenuse?Class 9Number SystemsSquare root spiralExpert MathematicsIf \(OP=\sqrt{a}\) and \(PQ=1\) is perpendicular, what is the general form of the next hypotenuse (OQ)?Class 9Number SystemsSquare root spiralExpert MathematicsWhich statement is correct for constructing each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralExpert MathematicsIf the new hypotenuse in a square root spiral is equal to (95), which was the hypotenuse in the previous step?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, which hypotenuse is formed after \(\sqrt{4623}\), and what is its exact value?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the hypotenuse formed after \(\sqrt{2115}\) will be located at which special value?Class 9Number SystemsSquare root spiralHard MathematicsIf the hypotenuse formed after \(\sqrt{n}\) in a square root spiral is (52), what is the value of (n)?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the hypotenuse formed after \(\sqrt{1295}\) will be at which exact value?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the new hypotenuse is \(\sqrt{n+1}\). If the previous hypotenuse was \(\sqrt{728}\), what will the new hypotenuse be?Class 9Number SystemsSquare root spiralHard MathematicsIf the hypotenuse formed after \(\sqrt{n}\) in a square root spiral is (41), what is the value of (n)?Class 9Number SystemsSquare root spiralHard MathematicsIf the new hypotenuse in a square root spiral is equal to (31), which hypotenuse came immediately before it?Class 9Number SystemsSquare root spiralHard MathematicsWhich option is logical for finding the next hypotenuse from \(\sqrt{12}\) in a square root spiral?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the hypotenuse formed after \(\sqrt{255}\) will be located at which special value?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the new hypotenuse is \(\sqrt{n+1}\). If the previous hypotenuse was \(\sqrt{224}\), what will be the new hypotenuse?Class 9Number SystemsSquare root spiralHard MathematicsA student says that in a square root spiral, each new hypotenuse is exactly 1 unit longer than the previous hypotenuse. Which correction is correct?Class 9Number SystemsSquare root spiralHard