Proof of The Pythagorean Theorem

The video tutorial explains the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. It demonstrates this with an example using the values 3, 4, and 5, and provides a visual representation of the squared values. The tutorial concludes with a mathematical proof, showing that the theorem holds true by adding the squares of the legs and comparing it to the square of the hypotenuse.

What does the Pythagorean theorem state about the sides of a right triangle?

• The sum of the angles is 180 degrees.

• The hypotenuse is always the longest side.

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The triangle is equilateral.

In the example given, what is the length of side 'a'?

• 6

• 4

• 5

• 3

What is the area of the square formed by side 'b' in the example?

• 12

• 9

• 25

• 16

How many squares are formed by the hypotenuse in the visual proof?

• 20

• 25

• 16

• 9

What mathematical operation is used to verify the Pythagorean theorem in the proof?

• Subtraction

• Addition

• Multiplication

• Division