MathDB

H 54

Source:

May 25, 2007

calculusintegrationratiogeometryperimeterquadraticsLaTeX

Problem Statement

Show that the number of integral-sided right triangles whose ratio of area to semi-perimeter is

p^{m}

, where

p

is a prime and

m

is an integer, is

m+1

p=2

and

2m+1

p \neq 2