Finding the Length of a Triangle's Side Using Pythagoras' Theorem

The video tutorial explains how to solve a geometry problem involving a right triangle. Stanley walks 200 meters east and 160 meters south, forming a right triangle. The task is to find the length of the hypotenuse using Pythagoras' theorem. The process involves visualizing the problem with a diagram, applying the theorem, and calculating the hypotenuse. The final answer is rounded to three significant figures. The tutorial also discusses the marking scheme for the problem, emphasizing the importance of understanding the application of Pythagoras' theorem.

What is the total distance Stanley walks from point A to point C?

• 160 meters

• 200 meters

• 256 meters

• 360 meters

Why is it helpful to draw a diagram for this problem?

• To measure the distances accurately

• To visualize the right triangle formed

• To make the problem more complex

• To avoid using Pythagoras' theorem

Which theorem is used to calculate the length of AC?

• Pythagoras' theorem

• Einstein's theory

• Archimedes' principle

• Newton's law

What is the formula for Pythagoras' theorem?

• a^2 - b^2 = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = 2c

What is the value of c squared in this problem?

• 200

• 360

• 65,600

• 256

What is the length of AC rounded to three significant figures?

• 256 meters

• 160 meters

• 200 meters

• 360 meters

How many marks were available for correctly solving this problem?

• Three

• Four

• Two

• One