Exploring Right Triangles and the Pythagorean Theorem

What is the unique aspect of the Pythagorean theorem in the context of its origin?

• Named after a Roman emperor

• Named after a mathematician

• Named after a religious figure

• Named after a Greek philosopher

What defines a right triangle?

• A triangle with no equal sides

• A triangle with two equal sides

• A triangle with one angle of 90 degrees

• A triangle with all angles less than 90 degrees

What does the Pythagorean theorem calculate?

• Perimeter of a triangle

• Height of the triangle

• Area of a triangle

• Length of the hypotenuse

According to the Pythagorean theorem, what is the relationship between the sides of a right triangle?

• A squared plus B squared equals C squared

• A plus B equals C

• A times B equals C squared

• A squared minus B squared equals C squared

What mathematical areas does the Pythagorean theorem connect to?

• Algebra and calculus

• Geometry and trigonometry

• Statistics and probability

• Calculus and linear algebra

In a right triangle with sides of length 3 and 4, what is the length of the hypotenuse?

• 6

• 7

• 9

• 5

How do you determine which side is the hypotenuse in a right triangle?

• It is the side adjacent to the right angle

• It is the shortest side

• It is the side opposite the right angle

• It is the longest side

What is the result of 3 squared plus 4 squared in the context of the Pythagorean theorem?

• 12

• 25

• 9

• 16

If one side of a right triangle is 12 and the other is 6, what is the length of the hypotenuse?

• 13

• 15

• 14

• 18

What is the simplified form of the square root of 112?

• 10 square roots of 2

• 4 square roots of 7

• 6 square roots of 5

• 8 square roots of 3