Odpowiedź:
a)P = 30 cm * 8 cm = 240 cm²
a² = 15² + 8² = 225 + 64 = 289
a = 17
L = 4*a = 4*17 cm = 68 cm
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b) α = 135° - 90° = 45°
więc a = 10 √2 cm
P = 10 cm*10 cm = 100 cm²
L = 2*10 cm + 2*10 √2 cm = ( 20 + 20√2 ) cm
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c) a² = 15² - 9² = 225 - 81 = 144
a = [tex]\sqrt{144}[/tex] = 12
P = [tex]\frac{12 + 6}{2}[/tex] *9 = 9*9 = 81
P = 81 cm²
c² = 9² +( 12 - 6)² = 81 + 36 = 117 = 9*13
c =[tex]\sqrt{9*13}[/tex] = 3*[tex]\sqrt{13}[/tex]
L = ( 12+ 9 + 6 + 3 [tex]\sqrt{13}[/tex] ) cm = ( 27 + 3[tex]\sqrt{13}[/tex] ) cm
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Szczegółowe wyjaśnienie: