Odpowiedź:
e) Obw = 5 + 9[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{10}[/tex] , P = 45
f) Obw = 2 + [tex]6\sqrt{2}+2\sqrt{3}[/tex] , P = [tex]6\sqrt{2}[/tex]
Szczegółowe wyjaśnienie:
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e) Obw = a + b + c + d = 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex] + 5 + 2[tex]\sqrt{10}[/tex] = 5 + 9[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{10}[/tex]
[tex]P = \frac{a+b}{2}[/tex] · h = [tex]\frac{6\sqrt{5} +3\sqrt{5} }{2}[/tex] · [tex]2\sqrt{5}[/tex] = [tex](6\sqrt{5} +3\sqrt{5} )[/tex] · [tex]\sqrt{5}[/tex] = 9[tex]\sqrt{5}[/tex] · [tex]\sqrt{5}[/tex] = 45
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f) a = [tex]\sqrt{32} = \sqrt{16*2} = 4\sqrt{2}[/tex]
Obw = a + b + c + d = [tex]2\sqrt{2} +4\sqrt{2} +2+2\sqrt{3}[/tex] = 2 + [tex]6\sqrt{2}+2\sqrt{3}[/tex]
[tex]P = \frac{a+b}{2}[/tex] · h = [tex]\frac{4\sqrt{2} +2\sqrt{2} }{2}[/tex] · [tex]2[/tex] = [tex]4\sqrt{2} +2\sqrt{2} =6\sqrt{2}[/tex]
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Verified answer
Odpowiedź:
e) Obw = 5 + 9[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{10}[/tex] , P = 45
f) Obw = 2 + [tex]6\sqrt{2}+2\sqrt{3}[/tex] , P = [tex]6\sqrt{2}[/tex]
Szczegółowe wyjaśnienie:
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e) Obw = a + b + c + d = 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex] + 5 + 2[tex]\sqrt{10}[/tex] = 5 + 9[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{10}[/tex]
[tex]P = \frac{a+b}{2}[/tex] · h = [tex]\frac{6\sqrt{5} +3\sqrt{5} }{2}[/tex] · [tex]2\sqrt{5}[/tex] = [tex](6\sqrt{5} +3\sqrt{5} )[/tex] · [tex]\sqrt{5}[/tex] = 9[tex]\sqrt{5}[/tex] · [tex]\sqrt{5}[/tex] = 45
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f) a = [tex]\sqrt{32} = \sqrt{16*2} = 4\sqrt{2}[/tex]
Obw = a + b + c + d = [tex]2\sqrt{2} +4\sqrt{2} +2+2\sqrt{3}[/tex] = 2 + [tex]6\sqrt{2}+2\sqrt{3}[/tex]
[tex]P = \frac{a+b}{2}[/tex] · h = [tex]\frac{4\sqrt{2} +2\sqrt{2} }{2}[/tex] · [tex]2[/tex] = [tex]4\sqrt{2} +2\sqrt{2} =6\sqrt{2}[/tex]
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