536 Puzzles and Curious Problems

(Elliott) #1
Answers 289

267. THE HIDDEN STAR

The illustration shows the symmetrical star in its exact position in the silk
patchwork cloth. All the other pieces contributed are omitted for the sake of
clearness, and it can be at once located on reference to the illustration given


with the puzzle. It is surprising how bewildering it is to find the star until you
have been once shown it or have found it, and then it will appear pretty
obvious.


  1. A GARDEN PUZZLE


The trapezium will be inscribable in a circle. Half the sum of the sides is 29.
From this deduct the sides in turn, and we get 9, 13, 17, 19, which, multiplied
together, make 37,791. The square root of this, 194.4 square rods, will be the
area.


  1. A TRIANGLE PUZZLE


If you extend the table on the following page you may get as many rational
triangles, with consecutive numbers, as you like.
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