Răspuns:
[tex] \frac{ab}{ac} = \frac{3}{4} = > ab = 3x \: \: ac = 4x[/tex]
[tex]bc = \sqrt{ {3x}^{2} + {4x}^{2} } \\ bc = \sqrt{9 {x}^{2} + 16 {x}^{2} } \\ bc = \sqrt{?25 {x}^{2} } \\ bc = 5x[/tex]
[tex]ad = 36 = > \\ ad = \frac{4x \times 3x}{5x} \\ 36 = \frac{12 {x}^{2} }{5x} \\ 36 = \frac{?12x}{?5} \\ 180 = 12x \\ x = 15cm[/tex]
[tex]ac = 4x = 4 \times 15 = 60cm\\ bc = 5x = 5 \times 15 = 75cm \\ ab =3x = 3 \times 15 = 45cm [/tex]
PERIMETRUL = 60+75+45=180cm
ARIA = 45×60/2= 1350
