Triangle, Square, & Other Polygon Puzzles 95- CHOOSING A SITE
A man bought an estate enclosed by three straight roads forming an equi-
lateral triangle, as shown in the illustration. Now, he wished to build a house
somewhere on the estate so that if he should have a straight driveway made
from the front to each of the three roads he might be put to the least expense.
The diagram shows one such position. Where should he build the house?
285. THE COUNTER CROSS
Arrange twenty counters in the
form of a cross, in the manner shown
in the diagram. Now, in how many
different ways can you point out four
counters that will form a perfect
square if considered alone? Thus the
four counters composing each arm of
the cross, and also the four in the
center, form squares. Squares are also
formed by the four counters marked
A, the four marked B, and so on.
How may you remove six counters
so that not a single square can be so
indicated from those that remain?
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