Question

Fie ABCA'B'C o prisma triunghilara regupata care are perimetrul bazei de 18√3 cm si perimetrul unei fete laterale de 28√3
a)l b) m (nu e grila)

Answer 1

[tex]\mathcal{P}_{b} = 3\ell = 18\sqrt3 |_{:3} \Longrightarrow \ell = 6\sqrt3\ cm \\\;\\ \mathcal{P}_{ABB'A'} = 2\ell + 2m = 28\sqrt3 \Rightarrow 2\cdot6\sqrt3+2m = 28\sqrt3|_{:2} \Rightarrow \\\;\\ \Rightarrow 6\sqrt3+m = 14\sqrt3|_{-6\sqrt3} \Rightarrow m = 8\sqrt3\ cm[/tex]