I have attached a picture which help describe the problem.
The problem is: A fence is located 3m from a wall, and the fence is 2m high.
Decide the shortest length of a ladder (in green in the picture) placed on the ground and over the fence, touching the wall.
There are a lot of congruent right triangles, will this be used in the solution?
If I name the distance from the fence to the position where the ladder touches the ground a, and the height where the ladder touches the wall for . (The comes from the fence height).
Wonīt the length of the ladder be given by the pythagoran theorem?