Understanding the Pythagorean Theorem

The video tutorial explains the Pythagorean theorem, detailing how to calculate the missing side of a right triangle using the formula a² + b² = c². It covers finding the hypotenuse and a missing leg, emphasizing the importance of logical checks and using square roots to solve for unknowns.

What is the formula for the Pythagorean Theorem?

• a^2 + b^2 = c

• a + b = c^2

• a^2 + b^2 = c^2

• a^2 + b = c^2

What operation is used to find the length of a side after using the Pythagorean Theorem?

• Multiplication

• Addition

• Square root

• Subtraction

Which side of a right triangle is the hypotenuse?

• The side adjacent to the right angle

• The longest side

• The side opposite the right angle

• The shortest side

In the Pythagorean Theorem, what does 'c' represent?

• The hypotenuse

• The base

• The shortest side

• Any side

If a triangle has sides of 9 and 12, what is the hypotenuse?

• 19

• 13

• 17

• 15

What is the square root of 225?

• 14

• 15

• 16

• 17

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

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

• Add the squares of the known sides

• Divide the hypotenuse by the known leg

• Multiply the known sides

How do you isolate a variable when solving for a missing leg?

• Add the known leg to both sides

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

• Multiply both sides by the hypotenuse

• Divide both sides by the known leg

If a triangle has a hypotenuse of 24 and one leg of 8, what is the length of the other leg?

• 22.6

• 20

• 16

• 18

What is the approximate value of the square root of 512 rounded to the nearest tenth?

• 22.7

• 22.5

• 22.6

• 22.4