Zadanie 1.
a) [tex]k^{2}[/tex] + [tex]m^{2}[/tex] = [tex]l^{2}[/tex]
b) [tex]9^{2}[/tex] + [tex]x^{2}[/tex] = [tex](x+1)^{2}[/tex]
81 + [tex]x^{2}[/tex] = [tex]x^{2}[/tex] + 2x + 1
80 = 2x /:(2)
x = 40
x + 1 = 41
Zadanie 2.
a) [tex](3\sqrt{2}) ^{2}[/tex] - [tex]4^{2}[/tex] = [tex]a^{2}[/tex]
18 - 16 = [tex]a^{2}[/tex]
a = [tex]\sqrt{2}[/tex]
b) [tex]\sqrt{13}^2[/tex] - [tex]2^{2}[/tex] = [tex]x^{2}[/tex]
13 - 4 = [tex]x^{2}[/tex]
x = 3
c) [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]y^{2}[/tex]
64 + 36 = [tex]y^{2}[/tex]
y = 10
Zadanie 4.
[tex](3\sqrt{3})^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]
27 + 49 = [tex]x^{2}[/tex]
x = [tex]\sqrt{76}[/tex] = [tex]2\sqrt{19}[/tex]
P = [tex]3\sqrt{3}[/tex] * [tex]2\sqrt{19}[/tex] = [tex]6\sqrt{57}[/tex] [tex]cm^{2}[/tex]
