Odpowiedź:
a) P = 0,5*4² = 0,5*16 = 8
a√2 = 4 / : √2
a =2 √2
Obwód L = 4 a = 4*2√2 = 8√2
b)
a² + 6² = 10²
a² = 100 - 36 = 64
a =√64 = 8
Pole P = a*b = 8*6 = 48
L = 2*8 +2*6 = 16 + 12 = 28
c)
a = 4
P = [tex]\frac{a^2 *\sqrt{3} }{4}[/tex] = [tex]\frac{16 \sqrt{3} }{4}[/tex] = 4[tex]\sqrt{3}[/tex]
L = 3 a = 3* 4 = 12
g) b = 6
a = 2*3 + 6 = 12
c = 3[tex]\sqrt{2}[/tex] h = 3
Pole P = [tex]\frac{12 + 6}{2}[/tex] *3 = 9*3 = 27
Obwód L = 12 + 6 + 2*3[tex]\sqrt{2}[/tex] = 18 + 6 [tex]\sqrt{2}[/tex]
f)
a [tex]\sqrt{2}[/tex] = 10 / : [tex]\sqrt{2}[/tex]
a = 5 [tex]\sqrt{2}[/tex]
P = 0,5*5[tex]\sqrt{2}[/tex]*5[tex]\sqrt{2}[/tex]= 25
L = 2*5√2 + 10 = 10√2 + 10
Szczegółowe wyjaśnienie:
