Mathematics
Square root spiral
Practice questions
Which line segment is drawn first in a square root spiral?In a square root spiral, what is the hypotenuse of a right triangle with sides (1) unit and (1) unit?In a square root spiral, what is the length of the new perpendicular side in each new triangle?Which theorem is used to find the hypotenuse of a right triangle in a square root spiral?In a square root spiral, what form do the lengths of the successive hypotenuses take?After (\sqrt{3}), which hypotenuse comes next in a square root spiral?What is the correct initial sequence of hypotenuses in a square root spiral?Which rule correctly describes the construction of each new right triangle in a square root spiral?To make (\sqrt{12}) in a square root spiral, what should be the previous hypotenuse?A 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?While constructing a square root spiral, what length is assigned to the new side drawn perpendicular to the previous hypotenuse in each right triangle?What angle is needed to make a right angle in a square root spiral?If a (1) unit perpendicular is added to the hypotenuse (\sqrt{n}), what will the new hypotenuse generally be?Reema 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?Which tool is useful to place the length obtained from a square root spiral on the number line?In a square root spiral, which side is added to the previous hypotenuse to construct each new right triangle?In a square root spiral, what should be done in the next step from the point representing \(\sqrt{6}\) to obtain \(\sqrt{7}\)?Why is it wrong to assume (\sqrt{2}+1=\sqrt{3}) in a square root spiral?What does the figure formed in a square-root spiral look like?What is the main purpose of a square root spiral?