Odpowiedź:
a) a = 8 cm
h = 10 cm
b² = 4² + 10² = 116 = 4*29
b = c = 2[tex]\sqrt{29}[/tex]
P = 0,5 a*h = 40 cm²
Z wzoru
P = [tex]\frac{a*b*c}{4 R}[/tex] otrzymujemy
40 = [tex]\frac{8*2\sqrt{29}*2\sqrt{29} }{4 R}[/tex] / * 4 R
160 R = 32*29 / : 160
R = 5,8 [cm ]
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b) a = 8 cm
h = 3 cm
b² = 4² + 3² = 25
b = c = 5
P = 0,5*a*h = 12
P = [tex]\frac{a*b*c}{4 R}[/tex] / * 4 R
4*12 R = 8*5*5
48 R = 200 / : 48
R = [tex]\frac{25}{6}[/tex] = 4 [tex]\frac{1}{6}[/tex] [ cm ]
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Szczegółowe wyjaśnienie:
