Henry Ernest Dudeney/Puzzles and Curious Problems/242 - Correcting a Blunder

by : $242$

 * Correcting a Blunder
 * Mathematics is an exact science, but first-class mathematicians are apt, like the rest of humanity, to err badly on occasions.
 * On referring to 's, we hit on this problem:


 * "To find a triangle such that its three sides, perpendicular, and the line drawn from one of the angles bisecting the base
 * may all be expressed in rational numbers."
 * He gives as his answer the triangle $480$, $299$, $209$, which is wrong and entirely unintelligible.


 * Readers may like to find a correct solution when we say that all the five measurements may be in whole numbers,
 * and every one of them less than a hundred.
 * It is apparently intended that the triangle must not itself be right-angled.