Răspuns:
a si b sunt catetele,iar c este ipotenuza
{a,b} D.P. {0,(6);0,5}
{a,b} D.P. {2/3;1/2}
a/2/3=b/1/2
b×2/3=a×1/2
2×2b=3a
4b=3a
3a-b/2=14
4b-b/2=14
8b-b=14×2
7b=14×2
b=4
a=4×4/3=16/3
din teorema lui pitagora:
a²+b²=c²
4²+(16/3)²=16×9/9+16×16/9=
=16/9(16+9)=c²
c²=16×25/9
c=4×5/3
c=20/3
P=a+b+c=16/3+4+20/3
=(16+12+20)/3=
=48/3=16cm