# Solution

(related to Problem: The Three Railway Stations)

The three stations form a triangle, with sides $13,$ $14,$ and $15$ miles. Make the $14$ side the base; then the height of the triangle is $12$ and the area $84.$ Multiply the three sides together and divide by four times the area. The result is eight miles and one-eighth, the distance required.

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### References

#### Project Gutenberg

1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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