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b=2r=4cm
r = 2 cm
Mamy
5 - 2 = 3
b = r + y = 2 +y
c = 3 +y
mamy
5² + (2 +y)² = (3 +y)²
25 + 4 + 4y + y² = 9 +6y + y²
29 + 4y = 9 + 6y
6y - 4y = 29 - 9
2y = 20
y = 10
b = 2 + 10 = 12
c = 3 + 10 = 13
spr.
5² + 12² = 25 + 144 = 169 = 13²
Odp. a = 5 cm, b = 12 cm , c = 13 cm.
Dodam jeszcze rysunek.
4 kw + 5 kw = c kw
16 + 25 = c kw
41= c kw
c=6,4