Given two crossed Ladders resting against two buildings, what is the distance between the buildings? Let
the height at which they cross be and the lengths of the Ladders and . The height at which
touches the building is then obtained by solving

Call the horizontal distance from the top of to the crossing , and the distance from the top of , . Call the height at which touches the building . There are solutions in which , , , , , and are all Integers. One is , , , and .

**References**

Gardner, M.
*Mathematical Circus: More Puzzles, Games, Paradoxes and Other Mathematical Entertainments from Scientific American.*
New York: Knopf, pp. 62-64, 1979.

© 1996-9

1999-05-25