When solving problems using Pythagoras' Theorem, the key step is to draw a right-angled triangle.
A ship sails 300 km due west and then 100 km due south.
At the end of this journey, how far is the ship from its starting position?
The first step is to draw a diagram showing the ship's starting position and the route it has taken:
We can see that the two parts of the journey form the two shorter sides of a right-angled triangle.
Now we need to use Pythagoras' Theorem to find the length of the hypotenuse, d.
Follow the steps below to work out each stage of the calculation, then click to see whether you are correct.
|Write down Pythagoras' Theorem with the relevant values :|
|Work out the squares of the two shorter sides :|
|Add together the two values on the right :|
|Find the square root of both sides :|