Pythagorean Quiz

What is the Pythagorean theorem?

• The Pythagorean theorem is a formula for finding the volume of a rectangular prism.

• The Pythagorean theorem is only applicable to equilateral triangles.

• The Pythagorean theorem relates to the relationship between the sides of a right-angled triangle.

• The Pythagorean theorem is used to calculate the area of a circle.

In a right-angled triangle, if the length of the two shorter sides are 3 and 4, what is the length of the hypotenuse?

• 10

• 7

• 2

• 5

What are the angles in a 45-45-90 special right triangle?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

If the length of the shorter side in a 30-60-90 special right triangle is 6, what is the length of the longer side?

• 12

• 6√3

• 9

• 18

What is the formula to find the hypotenuse in a right-angled triangle?

• Fermat's Last Theorem

• Pythagorean theorem

• Newton's theorem

• Euler's formula

In a 3-4-5 right triangle, which side is the hypotenuse?

• 4

• 7

• 3

• 5

What are the side lengths of a 45-45-90 special right triangle if one leg is 8?

• 8, 8, 11.31

• 8, 8, 16

• 8, 8, 12

• 8, 8, 10

What is the relationship between the sides in a 30-60-90 special right triangle?

• The side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is the length of the hypotenuse multiplied by √3.

• The side opposite the 30-degree angle is equal to the hypotenuse

• The side opposite the 30-degree angle is the length of the hypotenuse multiplied by 2

• The side opposite the 60-degree angle is half the length of the hypotenuse

If the hypotenuse of a right triangle is 10 and one leg is 6, what is the length of the other leg?

• 4

• 8

• 5

• 12

What is the Pythagorean triple for a right triangle with side lengths 5, 12, and 13?

• 7, 24, 25

• 8, 15, 17

• 3, 4, 5

• 5, 12, 13