Pythagoras’ Theorem Explained

This video tutorial explains the Pythagorean theorem, its historical background, and its application in solving problems involving right-angled triangles. It covers the definition of a theorem, the properties of right-angled triangles, and the importance of identifying the hypotenuse. The video provides a detailed explanation of the formula a^2 + b^2 = c^2, demonstrates its use through practical examples, and discusses how to rearrange the formula to find missing sides. The tutorial concludes with practice questions to reinforce learning.

Who was Pythagoras and what is he known for?

• A French philosopher known for calculus

• An Egyptian scientist famous for algebra

• A Greek mathematician credited with the Pythagorean theorem

• A Roman philosopher known for his work in geometry

What is the hypotenuse in a right-angled triangle?

• The shortest side of the triangle

• The longest side opposite the right angle

• The side that forms the right angle

• The side adjacent to the right angle

In the formula a^2 + b^2 = c^2, what does 'c' represent?

• The area of the triangle

• The length of side B

• The length of side A

• The length of the hypotenuse

If side A is 60 and side B is 45, what is the length of the hypotenuse?

• 70

• 75

• 80

• 85

How can the Pythagorean theorem be used besides finding a missing side?

• To determine the volume of a cube

• To measure the angle of a triangle

• To find the distance between two points

• To calculate the area of a circle

What should you do if you are given the hypotenuse and need to find a missing side?

• Use the formula without any changes

• Rearrange the formula to solve for the missing side

• Divide the hypotenuse by the other side

• Multiply the hypotenuse by two

What is the square root of 192 rounded to the nearest whole number?

• 15

• 16

• 14

• 13