GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: Pythagoras Theorem - Explained

The video tutorial addresses a starred question involving the calculation of the perimeter of a trapezium-shaped field. The farmer has 50 meters of fencing, and the task is to determine if this is sufficient. The tutorial explains how to find the missing side using Pythagoras' theorem and calculates the total perimeter, concluding that the farmer does not have enough fencing. The video also outlines the marking scheme for the question.

What shape is the field that the farmer wants to fence?

• Triangle

• Rectangle

• Trapezium

• Circle

How many sides of the trapezium are initially known?

• Two

• One

• Three

• Four

What mathematical theorem is used to find the missing side of the trapezium?

• Pythagoras's Theorem

• Law of Sines

• Area of a Circle

• Quadratic Formula

What is the calculated total perimeter of the field?

• 49 meters

• 51.206 meters

• 50 meters

• 52 meters

Does the farmer have enough fencing for the field?

• No, he is short by a few meters.

• Yes, he has more than enough.

• No, he needs double the amount.

• Yes, he has exactly enough.