Question

Fie triunghiul ABC. Aflati aria triunghiului daca: a) AB=6cm, BC=7cm, AC=9cm; b) AB=18cm, BC=9√3cm, AC=8√3cm;

Answer 1

a)$A= \sqrt{11*5*4*2} =2 \sqrt{110} cm^{2}$
b)A=$\sqrt{ \frac{18+17 \sqrt{3} }{2}\** \frac{17 \sqrt{3}-18 }{2} * \frac{18- \sqrt{3} }{2}* \frac{18+ \sqrt{3} }{2} }= \sqrt{ \frac{543}{2}* \frac{321}{2} }= \frac{3}{2}* \sqrt{19367} cm^{2}$