THE YORKSHIRE ESTATES
I was on a visit to one of the large towns of Yorkshire. While walking to the railway station on the day of my departure a man thrust a hand-bill upon me, and I took this into the railway carriage and read it at my leisure. It informed me that three Yorkshire neighbouring estates were to be offered for sale. Each estate was square in shape, and they joined one another at their corners, just as shown in the diagram. Estate A contains exactly `370` acres, B contains `116` acres, and C `74` acres.
Now, the little triangular bit of land enclosed by the three square estates was not offered for sale, and, for no reason in particular, I became curious as to the area of that piece. How many acres did it contain?
Topics:
Geometry
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Area Calculation
Geometry
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Plane Geometry
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Triangles
Geometry
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Plane Geometry
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Pythagorean Theorem
- Amusements in Mathematics, Henry Ernest Dudeney Question 189
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