Question

Aflati aria triunghiului care are laturile de lungimi 12, 10, 10

Answer 1

   
Calculam aria cu formula lui Heron.

[tex]\displaystyle\\ P = 12+10+10=32~cm~~\text{(perimetrul)}\\\\ p = \frac{P}{2}= \frac{32}{2}=16~cm~~\text{(semiperimetrul)}\\\\ A = \sqrt{p(p-a)(p-b)(p-c)}= \sqrt{16(16-12)(16-10)(16-10)}=\\\\ ~~~= \sqrt{16\times 4\times 6\times 6}=4\times 2\times 6=\boxed{48~cm^2}[/tex]