Răspuns:
28 cm
Explicație pas cu pas:
[tex]\frac{AB}{BC} = \frac{3}{4} = > BC = \frac{4AB}{3} [/tex]
[tex]AC^{2} = AB^{2} + BC^{2} \\ {10}^{2} = AB^{2} + ( \frac{4AB}{3} )^{2} \\ 100 = \frac{25AB^{2} }{9} \\ = > AB^{2} = 36 = > AB = 6 \: cm[/tex]
[tex]BC = \frac{4 \times 6}{3} = > BC = 8 \: cm[/tex]
[tex]P=2 \times (AB+BC)=2(6 + 8) = 2 \times 14 = 28 \: cm[/tex]
