Pythagorean Theorem Quiz

What type of triangle is formed by the horizontal distance, vertical height, and the length of the tow rope in parasailing?

• Scalene triangle

• Equilateral triangle

• Isosceles triangle

• Right triangle

If a parasailor rises to 50 ft and remains 72 ft behind the boat, what equation helps find the length of the tow rope?

• 50^2 = 72^2 + c^2

• c^2 + 72^2 = 50^2

• 50^2 + c^2 = 72^2

• 50^2 + 72^2 = c^2

Given a tow rope of 300 ft and a parasailor 200 ft above the water, which equation finds the horizontal distance?

• b^2 + 300^2 = 200^2

• 200^2 + b^2 = 300^2

• b^2 = 200^2 + 300^2

• 200^2 = b^2 + 300^2

In a right triangle, if the horizontal distance is 8.75 and the vertical distance is 18, what is the length of the hypotenuse?

• 25 ft

• 18 ft

• 20 ft

• 15 ft

For a staircase with a rise of 5T and a run of 12T, what is the length of the banister?

• 10T

• 13T

• 17T

• 15T

What is the length of each wire stabilizing a 12T flag pole in a square area, if the pole is 7T from each corner?

• 15T

• 13.9T

• 12T

• 10T

Why is it important to consider both positive and negative roots when solving x^2 = 25?

• Because both roots are always positive

• Because both positive and negative roots are valid solutions

• Because both roots are always negative

• Because only the positive root is valid

In the context of a circus tent, if the radius is 50 ft and the slant height is 61 ft, what is the height of the tent?

• 40 ft

• 35 ft

• 45 ft

• 30 ft

What is the significance of the hypotenuse in a right triangle?

• It is the shortest side

• It is the longest side

• It is equal to one of the legs

• It is always perpendicular to the base

How does the Pythagorean Theorem apply to three-dimensional figures?

• It is not applicable to three-dimensional figures

• It helps find unknown lengths in three-dimensional figures

• It only applies to two-dimensional figures

• It only applies to circular figures