Question

6 Perimetrul unui triunghi cu două laturi de lungimi egale este de 96 m. Una dintre latur
are lungimea de 40 m. Ce lungime au celelalte laturi? Află toate soluţiile problemei.
please!!!
I give the crown .... and the stars who answer first please ...​

Answer 1

Notam Δ cu "ABC".

PΔ=AB+BC+AC

a)Fie AB=BC

->Cand AB=40m=>BC=40m

=>PΔ=AB+AB+AC

96=40+40+AC

96-80=AC

AC=16

->Cand AC=40m

96=AB+AB+40

96-40=2AB

56=2AB

AB=28m=>BC=28m

b)Fie BC=AC

->Cand AB=40m

PΔ=AB+BC+BC

PΔ=AB+2BC

96=40+2BC

56=2BC

BC=28m=>AC=28m

->Cand BC=40m

PΔ=AB+BC+BC

96=AB+80

AB=16m

c)Fie AB=AC

->Cand AB=40

PΔ=AB+BC+AB

96=80+BC

BC=16m

->Cand BC=40m

PΔ=2AB+BC

96=40+2AB

56=2AB

AB=28m=>AC=28m