Absolutely! And so use your congruent triangles idea to get either one of a or h as a function of the other. Then you can see how the ladder length varies as a function of a or h...
Ouch! (below...)
Quite right
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 . (The comes from the fence height).
Wonīt the length of the ladder be given by the pythagoran theorem?
Like
Thx
Absolutely! And so use your congruent triangles idea to get either one of a or h as a function of the other. Then you can see how the ladder length varies as a function of a or h...
Ouch! (below...)
Quite right
Hi
Yes, similar , thats what I meant =) Just didnīt come up with the english word
I think I got it now, but the answer becomes really messy..
I get a minima for
Now I have
So I plug these into and ugh, I donīt care to write it out, itīs not important. If the solution is correct then I am satisfied.
Thx