Pythagorean Theorem Review Challenge

What does the Pythagorean theorem relate to in geometry?

• Angles of a triangle

• Volume of a sphere

• Sides of a right triangle

• Area of a circle

In the Pythagorean theorem, which side is known as the hypotenuse?

• The shortest side

• The side opposite the right angle

• The side adjacent to the right angle

• The side with the smallest angle

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 / b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

When using the Pythagorean theorem, what happens to the radical when squaring an irrational number?

• It remains unchanged

• It becomes a whole number

• It disappears

• It doubles

In the example, what is the value of x when 3 squared plus radical 7 squared equals x squared?

• 6

• 4

• 3

• 5

Why do we ignore the negative solution for x in the context of the Pythagorean theorem?

• Because it simplifies the calculation

• Because it's mathematically incorrect

• Because it's an undefined operation

• Because it doesn't make sense in the context of geometry

What is the correct expression for the unknown side in the second example if the sides are 11x and 16?

• 11x + 16 = c

• 11x^2 + 16^2 = c^2

• 11^2 + x^2 = 16^2

• x^2 + 16^2 = 11^2

What is the simplified form of the square root of 135?

• 5 radical 9

• 9 radical 5

• 3 radical 15

• 7 radical 19

How do you find the largest perfect square that divides into 135?

• Using a calculator

• By trial and error

• Asking a teacher

• Using prime factorization

What is the final answer for the unknown side in the second example?

• 27 radical 5

• 5 radical 27

• 15 radical 3

• 3 radical 15