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un triunghi isoscel are o latura avand lungimea de 6√2 cm si perimetrul egal cu √800 cm. Aflati lungimile celor doua laturi. Ma ajutati..?

Răspuns :

caz 1    l1=l2=6√2
l1+l2+l3=√800=>6√2+6√2+l3=√800
12√2+l3=20√2
l3=20√2-12√2=8√2
l1=l2=6√2 cm
l3=8√2 cm

caz2  l1=6√2  l2=l3
l1+l2+l3=√800
6√2+l2+l3=20√2
2l2=20√2-6√2
2l2=14√2
l2=14√2:2
l2=7√2

l1=6√2cm
l2=l3=7√2 cm
notezi cu a=6√2 (o latura), celelalte 2 cu b, respectiv c.
P(perimetrul)=a+b+c
daca e isoscel, are 2 laturi egale, adica b=c;
deci P=a+2b;
afli b, imparti la 2 si gata