1. In the diagram, four squares of side length 2 are placed in the corners of a square of side length 6. Each of the points W, X, Y, and Z is a vertex of one of the small squares. Square ABCD can be constructed with sides passing through W, X, Y, and Z. What is the maximum possible distance from A to P?

2. An acute triangle has a side length of and a side length of The third side length is also a positive integer. How many different possible values are there for the third side length?

3. An obtuse triangle has a side length of and a side length of The third side length is also a positive integer. How many different possible values are there for the third side length?

thank you :P

akacindy Oct 31, 2020