Răspuns :
Notez laturile a, b si c.
a/4=b/5=c/6
a/4=b/5
5a=4b
b=5a/4
a/4=c/6
6a=4c
c=6a/4
a+5a/4+6a/4=45
4a+5a+6a=45*4
15a=180
a=12
b=5*12/4=5*3=15
c=6*12/4=6*3=18
P= 12+15+18= 45
a/4=b/5=c/6
a/4=b/5
5a=4b
b=5a/4
a/4=c/6
6a=4c
c=6a/4
a+5a/4+6a/4=45
4a+5a+6a=45*4
15a=180
a=12
b=5*12/4=5*3=15
c=6*12/4=6*3=18
P= 12+15+18= 45
(AB,BC, AC)d.p(4,5,6)=> ABsupra 4 = BC supra 5 = Ac supra 6 care sunt egale cu K
De unde rezulta ca AB=4K , BC =5K, AC = 6K
AB+BC+AC= 45
Acum inlocuiesti:
4k+5k+6k=45
15k=45/:15
k=3
Acum te duci sus si inlocuiesti:
AB=4k=4*3=12
BC=5k=5*3=15
Ac=6k=6*3=18
De unde rezulta ca AB=4K , BC =5K, AC = 6K
AB+BC+AC= 45
Acum inlocuiesti:
4k+5k+6k=45
15k=45/:15
k=3
Acum te duci sus si inlocuiesti:
AB=4k=4*3=12
BC=5k=5*3=15
Ac=6k=6*3=18