Pythagorean Theorem Concepts and Applications

The video tutorial explains the Pythagorean Theorem, focusing on identifying the hypotenuse in a right triangle and using the formula a² + b² = c² to find missing sides. It provides two examples demonstrating the process of isolating variables and calculating square roots to solve for unknown sides. Key reminders include always identifying the hypotenuse correctly and ensuring proper use of the formula.

What are the names of the sides that meet at the right angle in a right triangle?

• a and b

• x and y

• b and c

• a and c

Which side is always the hypotenuse in a right triangle?

• Side a

• Side b

• Any side

• Side c

Which side is labeled as 'c' in a right triangle?

• The longest side

• The side adjacent to the right angle

• The side opposite the right angle

• The shortest side

How can you identify the hypotenuse in a right triangle?

• It is the longest side

• It is directly across from the right angle

• It is the shortest side

• It is adjacent to the right angle

What is the formula used in the Pythagorean Theorem?

• a^2 * b^2 = c^2

• a + b = c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

What is the first step in finding a missing side using the Pythagorean Theorem?

• Multiply the sides

• Isolate the variable

• Add the sides

• Subtract the sides

In Example 1, what is the value of c squared when a is 7 yards and b is 2 yards?

• 49

• 53

• 51

• 45

What is the final value of c in Example 1 after taking the square root?

• 7.5 yards

• 6.5 yards

• 7.28 yards

• 8 yards

In Example 1, what is the value of 7 squared?

• 45

• 51

• 53

• 49

In Example 2, what is the value of a squared when b is 4 and c is 8?

• 48

• 64

• 16

• 32