MATHS - Trigonometry -Pythagoras

The video tutorial introduces Pythagoras' theorem using an analogy of gold squares, explaining that the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the other two sides. It demonstrates how to use the theorem to find the length of a side when the other two are known, with examples for both hypotenuse and a shorter side. The video concludes by summarizing the key points and emphasizing the theorem's application to right angle triangles.

What surprising fact about the squares in a right-angled triangle is introduced in the video?

• The two smaller squares are larger than the biggest square.

• The largest square is equal to one of the smaller squares.

• The two smaller squares are the same size as the largest square.

• The largest square is smaller than the two smaller squares combined.

What is the primary use of Pythagoras' theorem as explained in the video?

• To find the area of any triangle.

• To calculate the perimeter of a square.

• To determine the length of a side in a right-angled triangle.

• To measure the angles in a triangle.

In the example provided, what is the length of side A when B is 3 and C is 4?

• 6

• 7

• 5

• 8

How do you find a shorter side using Pythagoras' theorem?

• Add the squares of the two known sides.

• Subtract the square of the longer side from the square of the shorter side.

• Multiply the squares of the two known sides.

• Subtract the square of the shorter side from the square of the longer side.

What is the length of the shorter side when the longest side is 3.5 and the other side is 1.8?

• 4 kilometers

• 3 kilometers

• 2 kilometers

• 5 kilometers