Exploring the Pythagorean Theorem

The video tutorial covers the Pythagorean Theorem, explaining its components and the equation a² + b² = c². It emphasizes the importance of identifying the hypotenuse and provides two exercises to solve for unknown sides of right triangles, demonstrating the process of simplifying radical expressions.

What does the 'c' in the Pythagorean theorem equation represent?

• The hypotenuse of the triangle

• One of the legs of the triangle

• The perimeter of the triangle

• The area of the triangle

In the Pythagorean theorem, which side is always opposite the right angle?

• Side b

• Side c

• Side a

• None of the above

What happens to the radical when squaring an irrational number in the context of the Pythagorean theorem?

• It becomes a whole number

• It disappears

• It remains unchanged

• It doubles

How do you find the unknown side 'x' in the Pythagorean theorem if you have the sides 3 and radical 7?

• x = square root of (9 - 7)

• x = 3 + radical 7

• x = square root of (9 + 7)

• x = 3 * radical 7

What is the correct value of 'x' when solving 3 squared plus radical 7 squared equals x squared?

• x = 3

• x = 4

• x = 5

• x = 6

When solving for the side of a right triangle, why do we ignore the negative solution for length?

• Because it is not mathematically possible

• Because length cannot be negative

• Because it simplifies the calculation

• Because length cannot be zero

What is the value of 'x' when 11 squared plus x squared equals 16 squared?

• x = 5 radical 5

• x = 5 radical 4

• x = 5 radical 2

• x = 5 radical 3

How do you simplify the expression under the radical when solving for 'x' in the equation 11 squared plus x squared equals 16 squared?

• Split 75 into 25 times 2

• Split 75 into 25 times 3

• Split 75 into 25 times 4

• Split 75 into 25 times 5

What is the largest perfect square that goes into 75?

• 30

• 25

• 20

• 15

What is the final simplified form of the square root of 75?

• 6 radical 3

• 5 radical 2

• 5 radical 3

• 6 radical 2