Pythagoras Theorem: Finding the Length of a Right Triangle

The video tutorial explains Pythagoras' theorem, which applies to right-angled triangles. It details how to calculate the hypotenuse by squaring the two shorter sides, adding them, and taking the square root. The tutorial also covers finding a shorter side by subtracting the square of one side from the square of the hypotenuse and then taking the square root. The process is demonstrated with examples, emphasizing the steps of squaring, adding or subtracting, and square rooting.

What does Pythagoras' theorem state about the relationship between the sides of a right-angled triangle?

• The hypotenuse is equal to the sum of the other two sides.

• The hypotenuse is always the longest side.

• The sum of the angles is 180 degrees.

• The square of the hypotenuse is equal to the sum of the squares of the other two sides.

If a right-angled triangle has sides of lengths 8 and 6, what is the length of the hypotenuse?

• 10

• 12

• 9

• 14

What is the final step in calculating the hypotenuse using Pythagoras' theorem?

• Add the lengths of the two sides.

• Subtract the lengths of the two sides.

• Square the lengths of the two sides.

• Take the square root of the sum of the squares of the two sides.

How do you find a shorter side if you know the hypotenuse and one side of a right-angled triangle?

• Divide the hypotenuse by the known side.

• Add the squares of the hypotenuse and the known side.

• Subtract the square of the known side from the square of the hypotenuse.

• Multiply the hypotenuse by the known side.

If the hypotenuse is 12 and one side is 6, what is the length of the other side?

• 8

• 10.39

• 11

• 9