### Why use this resource?

These problems are great for students looking to develop problem-solving skills as well as practising using similar triangles. There are a few ways of tackling this problem. An elegant solution uses similar triangles although one could also tackle them using trigonometry and/or coordinate geometry. The problems can be used individually but the later problems use previous results.

### Key questions

- How can ratios help solve this problem?

### Possible support

Some students may need reminding on the properties of similar triangles and how we prove whether two triangles are similar or not.