6/10 = 15/x
6*x = 10*15
Zadanie 1.
6x = 150 /:6
x = 25
6/x = 15/10
15*x = 6*10
15x = 60 /:15
x = 4
Może mieć wymiary 10 x 25 oraz 4 x 10
Zadanie 2.
Pole trójkąta równobocznego: 4*4/2 = 8 Obwód trójkąta równobocznego: 4+4+4= 12 P = 8*8/2 = 32 Obw = 8+8+8 = 24
Zad 3.
Obw = 2a+2b
Obw1=20 cm
Obw2 =30 cm
P = a*b
p1 = 24 cm2
2a+2b=20
a*b = 24
2a = 20-2b |:2
a = 10-b
(10-b)*b = 24
-b^2+10b-24 = 0
delta = 100-4*(-1)*(-24)
delta = 100-96
delta = 4
pierwiastek z delty = 2
b1 = (-10-2)/-2 = -12/-2 = 6
a = 10-6 = 4
b2 = (-10+2)/-2 = -8/-2 = 4
10-4 = 6
Obw = 2*4+2*6 = 8+12 = 20
2x+2y = 30 /:2
x+y = 15
4/x = 6/y
4y = 6x /:4
x = 1,5y
1,5y+y = 15
2,5y = 15 /:2,5
y = 6
x = 1,5*6 = 9
P=x*y
P = 6*9 = 54cm2
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6/10 = 15/x
6*x = 10*15
Zadanie 1.
6x = 150 /:6
x = 25
6/x = 15/10
15*x = 6*10
15x = 60 /:15
x = 4
Może mieć wymiary 10 x 25 oraz 4 x 10
Zadanie 2.
Pole trójkąta równobocznego: 4*4/2 = 8
Obwód trójkąta równobocznego: 4+4+4= 12
P = 8*8/2 = 32
Obw = 8+8+8 = 24
Zad 3.
Obw = 2a+2b
Obw1=20 cm
Obw2 =30 cm
P = a*b
p1 = 24 cm2
2a+2b=20
a*b = 24
2a = 20-2b |:2
a*b = 24
a = 10-b
a*b = 24
a = 10-b
(10-b)*b = 24
a = 10-b
-b^2+10b-24 = 0
delta = 100-4*(-1)*(-24)
delta = 100-96
delta = 4
pierwiastek z delty = 2
b1 = (-10-2)/-2 = -12/-2 = 6
a = 10-6 = 4
b2 = (-10+2)/-2 = -8/-2 = 4
10-4 = 6
Obw = 2*4+2*6 = 8+12 = 20
2x+2y = 30 /:2
x+y = 15
4/x = 6/y
4y = 6x /:4
x = 1,5y
1,5y+y = 15
2,5y = 15 /:2,5
y = 6
x = 1,5*6 = 9
P=x*y
P = 6*9 = 54cm2