How to Use and Prove the Pythagorean Theorem

The video tutorial covers the Pythagorean theorem, starting with its historical background and key vocabulary related to right triangles. It explains the theorem's formula and provides a visual proof using graph paper. The tutorial then demonstrates how to apply the theorem to find missing sides of right triangles, with examples and exercises for practice. The lesson concludes with a summary and encouragement for further exploration.

Who is credited with proving the Pythagorean Theorem?

• Euclid

• Babylonians

• Pythagoras

• Archimedes

What is the longest side of a right triangle called?

• Base

• Height

• Hypotenuse

• Diagonal

In the Pythagorean Theorem, what does 'a squared plus b squared equals c squared' represent?

• The sum of the angles in a triangle

• The area of a rectangle

• The formula for a circle's circumference

• The relationship between the sides of a right triangle

What is the area of a square with a side length of 3?

• 15

• 6

• 9

• 12

If one leg of a right triangle is 4 and the other is 6, what is the length of the hypotenuse rounded to the nearest tenth?

• 8.1

• 10.5

• 7.2

• 9.0

What is the length of the hypotenuse if the legs of a right triangle are 9 and 12?

• 15

• 14

• 13

• 16

If the hypotenuse of a right triangle is 15 and one leg is 11, what is the length of the other leg rounded to the nearest tenth?

• 11.7

• 10.2

• 12.3

• 9.5

What is the missing leg length if the hypotenuse is 25 and one leg is 7?

• 24

• 22

• 21

• 20

Which operation is the inverse of squaring a number?

• Square root

• Subtraction

• Addition

• Multiplication

What is the square root of 225?

• 16

• 15

• 14

• 13