GCSE Secondary Maths Age 13-17 - Algebra: Pythagorous Theorem - Explained

The video tutorial explains how to prove that the area of a square formed by four right-angled triangles is equal to the sum of the squares of the two shorter sides of the triangle. The teacher uses Pythagoras' theorem to demonstrate this relationship, showing that the area of the square ABCD is equal to X^2 + Y^2. The tutorial also discusses the allocation of marks for the proof, emphasizing the importance of understanding the connection between the triangle's hypotenuse and the square's area.

What is the main objective of using four right-angled triangles to form a square ABCD?

• To determine the length of the hypotenuse

• To find the perimeter of the square

• To demonstrate that the area of the square is X^2 + Y^2

• To calculate the volume of the square

Which theorem is used to calculate the length of the hypotenuse in the square ABCD?

• Pythagoras' theorem

• The Law of Sines

• The Law of Cosines

• The Triangle Inequality Theorem

What is the relationship between the sides BC and AB in the square ABCD?

• BC is twice the length of AB

• BC and AB are equal

• BC is unrelated to AB

• BC is half the length of AB

What is the final area of the square ABCD as proved in the video?

• 2X^2 + 2Y^2

• X^2 + Y^2

• X^2 - Y^2

• X^2 * Y^2

How many marks were allocated for proving the area of the square using Pythagoras' theorem?

• One mark

• Two marks

• Three marks

• Four marks