2 numbers that can be both the area and perimeter of a triangle whose side lengths are a pythagorean triple?

Question

from numbers 1-31

Answer 1

3-4-5: area 6, perimeter 12 nope...
6-8-10: area 24, perimeter 24 yes!!

5-12-13: area 30, perimeter 30 yes!!!

Guess that's it: 24 and 30

Answer 2

To get these numbers, you can solve this equation :
a+b+(a^2+b^2)^(1/2) = ab/2

That equation can be reduced to
4a - ab + 4b = 8.

Then try a = 1,2, ... , 15 (stop if the value of b is negative)
You can get the value of b from above equation. The answer is then just (ab)/2.