a)
1. bok: a
2. bok: 2a
z Twierdzenia Pitagorasa:
[tex]a^2+(2a)^2=(4\sqrt{5} )^2\\a^2+4a^2=80\\5a^2=80 \\a^2=80:5\\a^2=16\\a=\sqrt{16} \\a=4[/tex]
1. bok: 4cm
2. bok: 2 · 4 = 8cm
Obw = 4cm + 4cm + 8cm + 8cm = 24cm
P = 4 · 8 = 32cm²
b)
1. bok: a
2. bok: 3a
z Twierdzenia Pitagorasa:
[tex]a^2+(3a)^2=(5\sqrt{10} )^2\\a^2+9a^2=250\\10a^2=250\\a^2=25\\a=\sqrt{25} \\a=5[/tex]
1. bok: 5cm
2. bok: 3 · 5 = 15cm
Obw = 5 + 5 + 15 + 15 = 40cm
P = 5 · 15 = 75cm²
