The triangle 5,12,13 has an area A=30 and a perimeter P=30, so A/P is 1.
The triangle 9,75,78 has an area A=324 and a perimeter P=162, so A/P is 2.

Find the smallest and largest integer-sided triangles where A/P is 10.

(In reply to the case for right triangles by xdog)

This is a parametrization as in a Primitive Pythagorean Triangle, which is only a special case of an Integer Triangle.

Posted by K Sengupta on 2024-01-04 15:47:55