Odpowiedź :
Odpowiedź:
Najpierw wyliczam a
a² = 2² + (2√3)²
a² = 4 + 12
a² = 16
a = 4
Teraz wyliczam b
b² = 3² + (2√3)²
b² = 9 + 12
b² = 21
b = √21
Przejdźmy do c
c² + 12² = 20²
c² + 144 = 400
c²= 256
c = 16
A na sam koniec d
d² + 12² = 13²
d² + 144 = 169
d² = 25
d = 5
Szczegółowe wyjaśnienie:
Odpowiedź:
1)
[tex] {a}^{2} = ( {2 \sqrt{3} })^{2} + {2}^{2} [/tex]
[tex] {a}^{2} = 4 \times 3 + 4[/tex]
[tex] {a}^{2} = 12 + 4[/tex]
[tex] {a}^{2} = 16[/tex]
[tex]a = \sqrt{16} =4[/tex]
[tex] {b}^{2} = ( {2 \sqrt{3} })^{2} + {3}^{2} [/tex]
[tex] {b}^{2} = 12 + 9[/tex]
[tex] {b}^{2} = 21[/tex]
[tex]b = \sqrt{21} [/tex]
2)
[tex] {c}^{2} = {20}^{2} - {12}^{2} [/tex]
[tex] {c}^{2} = 400 - 144[/tex]
[tex] {c}^{2} = 256[/tex]
[tex]c = \sqrt{256} = 16[/tex]
[tex] {d}^{2} = {13}^{2} - {12}^{2} [/tex]
[tex] {d}^{2} = 169 - 144[/tex]
[tex] {d}^{2} = 25[/tex]
[tex]d = 5[/tex]