Placing building in the corner of a plot of land

Raffen

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Sep 12, 2025
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Hi,

I draw buildings for a living and run into this problem from time to time.

When trying to place a building as far into the corner of a plot of land as possible. How do I figure out the placement so that three corners of the building touch the plot boundaries?
My guess is that it only has one valid solution (the black lines of the building can't cross the red ones).

The placement on the drawing is almost right. But I have no way of calculating how to make it perfect.

Bonus:
Is it possible to solve this with classic geometry. By drawing lines and circles. Or with some tools in for example AutoCAD?

1757671513103.png
 

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The middle red line is 10 units long. I don't think it is solvable without that info.
 
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