Zad 1
[tex]x^{2}[/tex] = [tex]7^{2}+4^{2}[/tex]
[tex]x^{2}[/tex] = 49+16 = 65
x = [tex]\sqrt{65}[/tex]
[tex]4\sqrt{10} ^{2} = 4^{2} + y^{2}[/tex]
16x10 = 160 = 16+[tex]y^{2}[/tex]
[tex]y^{2}[/tex] = 160-16
[tex]y^{2}[/tex]= 144
y = [tex]\sqrt{144}[/tex] = 12
[tex](8:2)^{2}[/tex] + [tex]z^{2}[/tex] = [tex]9^{2}[/tex]
16 + [tex]z^{2}[/tex] = 81
[tex]z^{2}[/tex] = 81-16=65
z = [tex]\sqrt{65}[/tex]
Zad 2
[tex]\sqrt{7} ^{2}[/tex] + [tex]a^{2}[/tex] = [tex]5^{2}[/tex]
7 + [tex]a^{2}[/tex] = 25
[tex]a^{2}[/tex] = 25-7=18
a = [tex]\sqrt{18}[/tex]
[tex]b^{2}[/tex] = [tex]6^{2}[/tex] + [tex]8^{2}[/tex]
[tex]b^{2}[/tex] = 36+64=100
b = [tex]\sqrt{100}[/tex] = 10
Zad 3
[tex]x^{2}[/tex] + [tex]12^{2}[/tex] = [tex]13^{2}[/tex]
[tex]x^{2}[/tex] + 144 = 169
[tex]x^{2}[/tex] = 169-144=25
x = [tex]\sqrt{25}[/tex] = 5
Odp. B
