88 Geometrical Problems
birthday present for one of its number. One of the contributors supplied a
portion in the form of a perfectly symmetrical star, and this has been worked
in exactly as it was received. But the triangular pieces so confuse the eye that
it is quite a puzzle to find the hidden star.
Can you discover it, so that, if you wished, by merely picking out the
stitches, you could extract it from the other portions of the patchwork?
- A GARDEN PUZZLE
The four sides of a garden are known to be 20, 16, 12, and 10 rods, and it
has the greatest possible area for those sides. What is the area?- A TRIANGLE PUZZLE
In the solution to Puzzle No. 230, we said that "there is an infinite number
of rational triangles composed of three consecutive numbers such as 3, 4, 5,
and 13, 14, 15." We here show these two triangles. In the first case the area
(6) is half of 3 X 4, and in the second case, the height being 12, the area (84)
is a half of 12 X 14.