MathDB

54

Part of PEN H Problems

Problems(1)

H 54

Source:

5/25/2007
Show that the number of integral-sided right triangles whose ratio of area to semi-perimeter is pmp^{m}, where pp is a prime and mm is an integer, is m+1m+1 if p=2p=2 and 2m+12m+1 if p≠2p \neq 2.
calculusintegrationratiogeometryperimeterquadraticsLaTeX