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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 a square root spiral, a student draws the new side in the same direction from the endpoint of the previous hypotenuse. How should the new unit-length side be drawn to keep the spiral correct?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, each new right triangle is drawn on the hypotenuse of the previous triangle. If at one stage the hypotenuse is \(\sqrt{10}\) and the new perpendicular side is 1 unit, what will be the hypotenuse of the new triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, where is the new line segment of length 1 drawn to form the next triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn constructing a square root spiral, which rule is followed to form each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsWhich statement correctly describes the construction of a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral made by constructing successive right triangles with unit-length sides, which of the following lengths can be represented by a line segment?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, which side is kept constant to form each new right-angled triangle?Class 9Number SystemsSquare root spiralEasy MathematicsWhy is the (1) unit perpendicular drawn at (90^\circ) in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsWhy is each new unit-length segment drawn perpendicular to the previous hypotenuse in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsWhat is the purpose of adding a perpendicular side of length 1 unit to the hypotenuse of the previous triangle in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what length of new side is added to the hypotenuse of the previous triangle to form each new right-angled triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what should be done in the next step from the point representing \(\sqrt{6}\) to obtain \(\sqrt{7}\)?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, which side is added to the previous hypotenuse to construct each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsReema has drawn a square root spiral up to \(\sqrt{10}\). She says that to construct \(\sqrt{11}\), a new line segment of length 1 should be drawn parallel to the previous hypotenuse from its endpoint. Why is her statement incorrect?Class 9Number SystemsSquare root spiralEasy MathematicsWhat angle is needed to make a right angle in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, what length is assigned to the new side drawn perpendicular to the previous hypotenuse in each right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsA student adds nine new right triangles, each with one unit as the new perpendicular side, after starting a square root spiral of unit length to represent \(\sqrt{10}\). Is the method correct?Class 9Number SystemsSquare root spiralEasy MathematicsWhich rule correctly describes the construction of each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what form do the lengths of the successive hypotenuses take?Class 9Number SystemsSquare root spiralEasy MathematicsWhich principle is generally used to determine the length of a new side in a square root spiral?Class 9Number SystemsSquare root spiralEasy