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Pythagoras Theorem

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MathematicsWhile constructing a square root spiral, Riya draws each new 1-unit segment parallel to the previous hypotenuse. How should the new segment be drawn to correct her mistake?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what length of side is added to the previous hypotenuse to form each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, how is the hypotenuse of the previous triangle used to construct each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsWhile constructing a square root spiral, which length segment is taken as one leg of each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsHow is each new right triangle constructed while drawing a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsHow is each new right triangle constructed in a square root spiral to obtain successive lengths \(\sqrt{2}, \sqrt{3}, \sqrt{4}\), and so on?Class 9Number SystemsSquare root spiralEasy MathematicsIn constructing a square root spiral, which side of the previous right triangle is used as one side of the next triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, on which feature is each new right-angled triangle constructed?Class 9Number SystemsSquare root spiralEasy MathematicsIn constructing a square root spiral, a student uses a hypotenuse of \(\sqrt{6}\) and draws a perpendicular side of 1 unit. Which number will the new hypotenuse represent?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, which perpendicular sides are used at the \(\sqrt{6}\) point to construct \(\sqrt{7}\)?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what is the length of each new side generally taken from 1 to 2?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, one side of each new right-angled triangle is kept 1 unit long. What is the other side equal to?Class 9Number SystemsSquare root spiralEasy MathematicsA student says that \(\sqrt{13}\) cannot be represented on a square root spiral because 13 is not a perfect square. Which option correctly corrects the statement?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, which side is generally kept of length 1 unit to construct each new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsWhy is each new 1-unit line segment drawn perpendicular to the previous hypotenuse in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsWhich theorem is mainly used to find the hypotenuse in a square root spiral?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, how long is the new perpendicular side usually kept in each new triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what is the hypotenuse of the first right triangle made with base (1) unit and perpendicular (1) unit?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, which segment is drawn at the end of the previous hypotenuse to form a new right triangle?Class 9Number SystemsSquare root spiralEasy MathematicsFor a square with side length 1 cm, Reena claims that its diagonal must also be rational because the side is rational. Which statement correctly identifies the error in Reena’s conclusion?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert