Pythagorean Theorem and Basic Operations

Mrs. Sant introduces the Pythagorean Theorem, explaining its components and how to apply it to right triangles. She demonstrates solving for the hypotenuse and a leg using examples, emphasizing the theorem's formula: a squared plus b squared equals c squared. The video concludes with practice problems for students.

What is the basic formula of the Pythagorean Theorem?

• a^2 + b^2 = 2c

• a^2 - b^2 = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

In a right triangle, which side is always the hypotenuse?

• Any side can be the hypotenuse

• The side adjacent to the right angle

• The shortest side

• The side opposite the right angle

If a right triangle has legs of 3 and 4, what is the length of the hypotenuse?

• 7

• 6

• 5

• 8

When solving for the hypotenuse, which side of the equation does it appear on?

• The left side

• The right side

• It can be on either side

• It does not appear in the equation

What is the first step in solving for a missing leg in a right triangle?

• Square the known leg

• Subtract the square of the known leg from the square of the hypotenuse

• Add the squares of the legs

• Identify the hypotenuse

In the equation a^2 + b^2 = c^2, what does 'c' represent?

• The area of the triangle

• The hypotenuse

• The perimeter of the triangle

• One of the legs

What operation is used to isolate a squared term in an equation?

• Division

• Multiplication

• Subtraction

• Addition

After isolating a squared term, what is the next step to find the length of a leg?

• Divide by two

• Multiply by two

• Take the square root

• Add the squares

If the hypotenuse is 10 and one leg is 8, what is the length of the other leg?

• 9

• 6

• 7

• 8

What is the square root of 36?

• 5

• 6

• 7

• 8