### Upsetting Pitagoras

Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2

### Are You Kidding

If the altitude of an isosceles triangle is 8 units and the perimeter of the triangle is 32 units.... What is the area of the triangle?

### Pythagorean Triples I

The first of two articles on Pythagorean Triples which asks how many right angled triangles can you find with the lengths of each side exactly a whole number measurement. Try it!

# Generating Triples

##### Stage: 4 Challenge Level:
Here is an extract from Charlie's table:

Where is the $5^2$?
Where is the $12^2$?
Where is the $13^2$?

Where might we find a similar set of related square numbers?