Exploring the Pythagorean Theorem

This video tutorial introduces the Pythagorean theorem, explaining how it can be used to find the length of any side of a right triangle. The theorem is presented as a squared plus b squared equals c squared, applicable only to right triangles. The video provides examples of finding the hypotenuse and other side lengths, emphasizing the importance of correctly identifying the hypotenuse as the longest side. Viewers are encouraged to practice solving problems using the theorem, with guidance on using algebra to isolate variables and solve for unknowns. The video concludes with a reminder to bring questions to class.

What is the formula for the Pythagorean theorem?

• A + B = C

• A^2 / B^2 = C^2

• A^2 * B^2 = C^2

• A^2 + B^2 = C^2

Which sides of the triangle does the Pythagorean theorem apply to?

• Only right triangles

• Any triangle

• Only equilateral triangles

• Only isosceles triangles

In the formula A^2 + B^2 = C^2, what does C represent?

• One of the legs

• The base of the triangle

• The hypotenuse

• The area of the triangle

If side A is 5 and side B is 12, what is the length of side C?

• 17

• 13

• 12

• 5

How do you solve for C when A is 3 and B is 4?

• C = 5

• C = 6

• C = 7

• C = 9

What operation is used to solve for C from C squared?

• Addition

• Subtraction

• Square root

• Multiplication

If 9 squared plus B squared equals 15 squared, what is B?

• 12

• 9

• 6

• 15

What is the correct step to isolate B squared in the equation 81 + B squared = 225?

• Subtract 81 from 225

• Divide 225 by 81

• Multiply 81 by 225

• Add 81 to 225

In a right triangle, if the square of the longest side (C) is 100 and one leg squared (B) is 64, what is the square of the other leg (A)?

• 28

• 100

• 64

• 36

What should the length of side A be if A squared equals 36?

• 36

• 12

• 6

• 18