Zad 1
a)
[tex] {a}^{2} + b^{2} = c^{2} [/tex]
[tex] {8}^{2} + {6}^{2} = {c}^{2} [/tex]
[tex]64 + 36 = {c}^{2} [/tex]
[tex] {c}^{2} = 100 \\ c = 10[/tex]
b)
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {5}^{2} + {3}^{2} = {c}^{2} [/tex]
[tex]25 + 9 = {c}^{2} [/tex]
[tex] {c}^{2} = 34[/tex]
[tex]c = \sqrt{34} [/tex]
c)
[tex] {b}^{2} = {c}^{2} - {a}^{2} [/tex]
[tex] {b}^{2} = {13}^{2} + {5}^{2} [/tex]
[tex] {b}^{2} = 169 + 25[/tex]
[tex]b = \sqrt{194} [/tex]
Zad 2
[tex] {b}^{2} = {c}^{2} - {a}^{2} [/tex]
[tex] {b}^{2} = (10 \sqrt{2} )^{2} - (8 \sqrt{2})^{2} [/tex]
[tex] {b}^{2} = 200 - 128[/tex]
[tex]b = \sqrt{72} [/tex]
[tex]b = 3 \sqrt{8} [/tex]
P= a*h*1/2
a= 8√2
h= 3√8
P = 8√2*3√8*1/2
P=24√16*1/2
P= 24*4*1/2
P= 96*1/2
P=48
Odp. A
