Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2
You are only given the three midpoints of the sides of a triangle.
How can you construct the original triangle?
Brian swims at twice the speed that a river is flowing, downstream
from one moored boat to another and back again, taking 12 minutes
altogether. How long would it have taken him in still water?