Odpowiedź:
a)
|AC| ² = 2² + 2² = 8
|AC| = 2[tex]\sqrt{2}[/tex]
|AB|² = (2[tex]\sqrt{2}[/tex])² + (2[tex]\sqrt{2}[/tex])² = 16
|AB| = 4
b)
a[tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
a = 4
|CB| = 4
|DC|² = 5² - 4² = 9
|DC| = 3
|AB| = |DC| + 4 = 7
c)
a = 6
c = 6
b = [tex]\frac{1}{2}[/tex]c
b = 3
|AB| 6 + 3 = 9
d)
δ = ∝
δ = 180° - 90° - 30° = 60°
ɣ = 180° - 90° - 2 · 30° = 60°
d = [tex]\frac{1}{2}[/tex] · 8 = 4
b = 4[tex]\sqrt{3}[/tex]
β = 90° - ∝ = 30°
d + c = b[tex]\sqrt{3}[/tex] = 12
|AB| = 12
