Odpowiedź:
a)
[tex]x {}^{2} + 4 {}^{2} = 5 {}^{2} \\ x {}^{2} + 16 = 25 \\ x {}^{2} = 25 - 16 \\ x {}^{2} = 9 \\ x = \sqrt{9} \\ x = 3[/tex]
b)
[tex]8 {}^{2} + 10 {}^{2} = y {}^{2} \\ y {}^{2} = 64 + 100 \\ y {}^{2} = 164 \\ y = \sqrt{164} \\ y = \sqrt{4 \times 41} \\ y = \sqrt[]{4} \times \sqrt{41} \\ y = 2 \sqrt{41} [/tex]
c)
[tex]( \frac{1}{2} z) { }^{2} + 10 {}^{2} = 12 {}^{2} \\ \frac{1}{4} z {}^{2} = 144 - 100 \\ \frac{1}{4} z {}^{2} = 44 | \times 4| \\ z {}^{2} = 176 \\ z = \sqrt{176} \\ z = \sqrt{16} \times \sqrt{11} \\ z = 4 \sqrt{11} [/tex]
Mam nadzieję, że pomogłam i liczę na naj
