Explicație pas cu pas:
a) ipotenuza = 9 + 16 = 25 cm
[tex]c_1^{2} = 9 \times 25 = 225 = > c_1 = \sqrt{225} \\ = > c_1 = 15 \: cm \\ c_2^{2} = 16 \times 25 = 400 = > c_2 = \sqrt{400} \\ = > c_2 = 20 \: cm[/tex]
b) ipotenuza = 4 + 12 = 16 cm
[tex]c_1^{2} = 4 \times 16 = 64 = > c_1 = \sqrt{64} \\ = > c_1 = 8 \: cm \\ c_2^{2} = 12 \times 16 = 192 = > c_2 = \sqrt{192} \\ = > c_2 = 8 \sqrt{3} \: cm[/tex]
c) ipotenuza = 9√3 + 3√3 = 12√3 cm
[tex]c_1^{2} = 9 \sqrt{3} \times 12 \sqrt{3} = 324 = > c_1 = \sqrt{324} \\ = > c_1 = 18 \: cm \\ c_2^{2} = 3 \sqrt{3} \times 12 \sqrt{3} = 108 = > c_2 = \sqrt{108} \\ = > c_2 = 6 \sqrt{3} \: cm[/tex]
d) ipotenuza = x +9x = 10x cm, x > 0
[tex]c_1^{2} = x \times 10x = 10 {x}^{2} = > c_1 = \sqrt{10 {x}^{2} } \\ = > c_1 = x \sqrt{10} \: cm \\ c_2^{2} = 9x \times 10x = 90 {x}^{2} = > c_2 = \sqrt{90 {x}^{2} } \\ = > c_2 = 3x \sqrt{10} \: cm[/tex]
