Odpowiedzi

2010-03-29T23:40:09+02:00
5.
1. a = 3
a √ 2 = 3 √ 2

2. b) a √ 3 = 3
a = 3 : √3
a = √ 3
2a = 2√3

L = 3 + 3 √ 2 + 2 √ 3 + √ 3

c) a = 6
a √ 2 = 6 √ 2
a √ 3 = a √ 3
2a = 2 * 6
2a = 12

L = 12 +6 + 6 √3 + 6 √ 2
L = 18 + 6 (√ 3 + √ 2)

6. a ) L = 42
L = 2(a+2a)
L = 2a + 4a
L = 6a
42 = 6a /:6
a = 7

a = 7
a √ 3 = h
h = 7 √ 3

b) L = 12 + 6√3
L = 2 ( a √3) + 2(2a)
L = 2a √3 + 4a
12 + 6√3 = 2a √3 + 4a / : √3
2a +4a = 12 + 6
6a = 18
a = 3

a = h
h = 3