# These Triangles

Author: mathforces
Problem has been solved: 17 times

Русский язык | English Language

Lin draws acute-angled triangles with sides $a$, $b$ and $c$, where $a = y-x$, $b = x + z$, $c = y-z$ for some positive integer numbers $x$, $y$, $z$ whose sum does not exceed 10. Find the sum of the values of the perimeters (possibly equal) for all possible (but pairwise distinct) triangles that Lin can draw.