Answers 295- CHOOSING A SITE
This was another little jest. He may build wherever he pleases, for if per-
pendiculars are drawn to the sides of an equilateral triangle from any point
in the triangle, their united length will be equal to the altitude of the triangle.- THE COUNTER CROSS
There are 19 different squares to be
indicated. Of these, nine will be of the
size shown by the four A's in the dia-
gram, four of the size shown by the
B's, four of the size shown by the C's,
and two of the size shown by the D's.
If you now remove the six coins
marked "E," not one of these squares
can be formed from the counters that
remain.
[Actually, there are 21 squares. Can
the reader find the two that Dudeney
missed? The answer to the secondpart of the puzzle continues, how-
ever, to be correct.-M. G.]- THE TRIANGULAR PLANTATION
.
B~
The number of ways in which 3
trees may be selected from 21 isTI 1 X 20 2 X (^12) 3' or (^1) , 330' ,
and a triangle may be formed with
anyone of these selections that does
not happen to be three in a straight
line. Let us enumerate these cases of
three in a line. Three trees may be
selected from the dotted line, AB, in
20 ways; from the next line of 5 trees
parallel with it, in 10 ways; from the