Pythagorean Theorem and Exponents

The video tutorial covers the Pythagorean theorem, explaining its formula a² + b² = c² and how to apply it to find missing sides in right triangles. The instructor provides three examples: finding the hypotenuse, finding a missing side when the hypotenuse is known, and another side calculation. The tutorial emphasizes understanding the theorem's application and solving equations step-by-step.

What is the longest side of a right triangle called?

• Opposite

• Base

• Hypotenuse

• Adjacent

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

• One of the legs

• The hypotenuse

• The area

• The perimeter

If a = 3 and b = 4, what is the value of c?

• 8

• 6

• 5

• 7

Given a right triangle with sides a = 6 and c = 19, what is the value of b?

• 20.03

• 19.03

• 18.03

• 17.03

What is the value of 19 squared?

• 361

• 371

• 381

• 341

What operation is needed to isolate the variable when solving for a side in the Pythagorean theorem?

• Addition

• Square root

• Subtraction

• Multiplication

If a = 7 and c = 25, what is the value of b?

• 25

• 24

• 23

• 26

What is the value of 25 squared?

• 725

• 825

• 525

• 625

What is the square root of 576?

• 24

• 22

• 25

• 23

In the Pythagorean theorem, which sides are represented by 'a' and 'b'?

• The hypotenuse and one leg

• Both hypotenuses

• Both legs

• The perimeter and area