Hi

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 $\displaystyle (h+2) $ . (The $\displaystyle + 2 $ comes from the fence height).

Wonīt the length of the ladder be given by the pythagoran theorem?

Like

$\displaystyle \sqrt{(a+3)^{2}+(h+2)^{2}} $

Thx