Perfect triangles

Triangles for which the perimeter and the area have the same integral values are called
perfect triangles-Some examples below-
1)Sides 6,8,10,-perimeter and area=24
2)Sides 5,12,13-perimeter and area=30
3)Sides 9,10,17-perimeter and area=36
4)Sides 7,15,20-perimeter and area=42
5)Sides 6,25,29-perimeter and area=60
You can see all the integral values are multiples of 6.
For your information the areas can be calculated using the following formula-
Find the perimeter 'p' and divide it by 2 to get 's' the semi-perimeter.
Assuming the sides are designated by a, b and c find the product of s,s-a,s-b and s-c
The square root of the product is the area
Example (4) above......a=7,b=15,c=20.....p=42....s=21
s-a=14,s-b=6,s-c=1.Hence the product is 21*14*6*1=1764...Sq root=42=area