Hi, I'm new to the forum, but was wondering if you guys could help me out.
The problem:
There is this farmer, who has a piece of land, which is bordered of by 2 fences. (the black lines). Somewhere within this piece of land is a drinking place for his cows, (named W). He wants to divide his land in two parts. A huge piece of land to the right of a new third fence (brown line) and a small triangular piece to the left of the third fence (brown line). The triangular piece of land is only for one cow, so it's probably gonna be much to large, that's why he wants to make it as small as possible.
The Question:How does he have to place the brown fench, to make the area of the triangle as small as possible, but still have it cross through W, so both parts can still have acces to the water.
What I already have:
I have already proven, that to get the smallest area, you have to make a triangle, with W in the exact middle of the brown Fence. (so the situation drawn in the example isn't far of of the best angle the fence can make).
What I still need, and can't figure out:
An Geometric way to exactly draw this fence, knowing that W has to be in the exact middle of the brown line.
I hope the problem is understandable to you. (english isn't my native language, and describing situations doesn't make it easier... lol).
The problem:
There is this farmer, who has a piece of land, which is bordered of by 2 fences. (the black lines). Somewhere within this piece of land is a drinking place for his cows, (named W). He wants to divide his land in two parts. A huge piece of land to the right of a new third fence (brown line) and a small triangular piece to the left of the third fence (brown line). The triangular piece of land is only for one cow, so it's probably gonna be much to large, that's why he wants to make it as small as possible.
The Question:How does he have to place the brown fench, to make the area of the triangle as small as possible, but still have it cross through W, so both parts can still have acces to the water.
What I already have:
I have already proven, that to get the smallest area, you have to make a triangle, with W in the exact middle of the brown Fence. (so the situation drawn in the example isn't far of of the best angle the fence can make).
What I still need, and can't figure out:
An Geometric way to exactly draw this fence, knowing that W has to be in the exact middle of the brown line.
I hope the problem is understandable to you. (english isn't my native language, and describing situations doesn't make it easier... lol).