Fred is reshaping his garden. He decides to make into a right-angled triangle ABC. The length AB= 5m and the length BC= 12 What is the length of AC?

This is a question based on the application of Pythagoras. In the question a diagram of the triangle ABC will be provided and we would be able to see that we would need to work out the hypotenuse. Thus using Pythagoras:(AC)² = (BC)² + (AB)²AC = [(BC)² + (AB)²]^{1/2
Thus by simple substitution we can obtain that the length is 13}Normally we would put +- but as it is a length it has to be +