Mathematics
Square root spiral
Practice questions
In a square root spiral, which segment is drawn at the end of the previous hypotenuse to form a new right triangle?In a square root spiral, what is the hypotenuse of the first right triangle made with base (1) unit and perpendicular (1) unit?If a perpendicular of length 1 unit is drawn at the end of a hypotenuse of length √2, what will be the length of the next hypotenuse?In a square root spiral, after the hypotenuse (\sqrt{3}), which length is obtained by adding a (1) unit perpendicular?Each new triangle in a square root spiral is of which type?In a square root spiral, how long is the new perpendicular side usually kept in each new triangle?Which theorem is mainly used to find the hypotenuse in a square root spiral?Why is each new 1-unit line segment drawn perpendicular to the previous hypotenuse in a square root spiral?Starting from (\sqrt{1}) in a square root spiral, which is the third hypotenuse?In a square root spiral, the line segment representing \(\sqrt{7}\) lies between which two consecutive whole numbers?A square root spiral helps to represent what kind of numbers on the number line?In a square root spiral, which side is generally kept of length 1 unit to construct each new right triangle?In a square root spiral, after (\sqrt{8}), which hypotenuse is obtained by adding a (1) unit perpendicular?While making a square root spiral, at what angle is the (1) unit perpendicular line drawn?To construct length (\sqrt{10}) in a square root spiral, a (1) unit perpendicular is added to which previous hypotenuse?In a square root spiral, each new hypotenuse is formed from the previous hypotenuse and which side?To show (\sqrt{2}) on the number line using a square root spiral, which length is taken in the compass?The second hypotenuse of a square root spiral is (\sqrt{2}). What will be the fourth hypotenuse?A 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?In a square root spiral, one side of each new right-angled triangle is kept 1 unit long. What is the other side equal to?