Henry Ernest Dudeney/Puzzles and Curious Problems/325 - The Price of a Garden/Solution
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Puzzles and Curious Problems by Henry Ernest Dudeney: $325$
- The Price of a Garden
- A neighbour told you he was offered a triangular piece of ground for a garden.
- Its sides were $55$ yards, $62$ yards and $117$ yards.
- The price was $10$ shillings per square yard.
- What will its cost be?
Solution
Nothing.
Proof
We have that:
- $55 + 62 = 117$
and so a triangle with those sides will have zero area.
Hence and so.
$\blacksquare$
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $325$. -- The Price of a Garden
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $283$. The Price of a Garden