Odpowiedź:
z.6
a = 6 cm , b = 8 cm
więc c² = 6² + 8² = 100
c = [tex]\sqrt{100} = 10[/tex]
c = 10 cm
oraz
sin α = [tex]\frac{6}{10}[/tex] cos α = [tex]\frac{8}{10}[/tex] tg α =[tex]\frac{6}{8} = \frac{3}{4}[/tex]
===========================================
z.7
a = 5 cm
α = 60°
------------
więc
[tex]\frac{h}{a} = \frac{h}{5} = tg 60^o = \sqrt{3}[/tex]
h = 5 [tex]\sqrt{3}[/tex] cm
------------------------
Pc = 2 Pp + Pb = 2*[tex]\frac{a^2*\sqrt{3} }{4} + 3 a*h =[/tex] 0,5*5²*√3 + 3*5*5√3 =
= 12,5 √3 + 75√3 = 87,5 √3
Pc = 87,5 cm²
===================
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Odpowiedź:
z.6
a = 6 cm , b = 8 cm
więc c² = 6² + 8² = 100
c = [tex]\sqrt{100} = 10[/tex]
c = 10 cm
oraz
sin α = [tex]\frac{6}{10}[/tex] cos α = [tex]\frac{8}{10}[/tex] tg α =[tex]\frac{6}{8} = \frac{3}{4}[/tex]
===========================================
z.7
a = 5 cm
α = 60°
------------
więc
[tex]\frac{h}{a} = \frac{h}{5} = tg 60^o = \sqrt{3}[/tex]
h = 5 [tex]\sqrt{3}[/tex] cm
------------------------
Pc = 2 Pp + Pb = 2*[tex]\frac{a^2*\sqrt{3} }{4} + 3 a*h =[/tex] 0,5*5²*√3 + 3*5*5√3 =
= 12,5 √3 + 75√3 = 87,5 √3
Pc = 87,5 cm²
===================
Szczegółowe wyjaśnienie: