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ทฤษฎีบทพีทาโกรัส
- 4. [7]
a, b c
a b
a, b c
a b 90°
Euclid's Elements [8]
ABC a,b c
a b
a b
c
- 8. a , b c
ABC c a
b ABC
c
ABC
c
a b
c a b
ABC
a , b c c2 = a2 + b2
ABC
c
- 11. 5. 4
1) 5
8 10
( 17
2) 8 6
( 10
3) 2
10
7 14
25
4)
5:5:10
5) 2
15 25
( 22
6) 2
- 12. 9
12
( 24
7) 7
25 ( 84
8) ABCD BC = 10 CD = 5
AD = 26 ? ( 48 24
9)
1 15
12
9
10) 10 4 8
3 6
25
11) 6
8 ( 20
12) 4
6 4
10
13) 10
15 18
- 13. ( 17
14) 13
5 ( 12
15) 26
24 ( 10
16) 9 12
15
17) 10.30 170
1 5
( 13
18)
157 227
19) 15 8
17
20) 100
24,600
- 14. 1. 3,4,5
2. 5,12,13
3. 7,24,25
4. 8,15,17
5. 9,40,41
6. 11,60,61
7. 12,35,37
8. 20,21,29
(3,4,5) (6,8,10) (9,12,15) (12,16,20) (15,20,25) (18,24,30)
(3,4,5)x2 = (6,8,10)
(3,4,5)x3 = (9,12,15)
(3,4,5)x4 = (12,16,20)
(3,4,5)x5 = (15,20,25)
(3,4,5)x6 = (18,24,30)
2
1.2
- 17. 4.
5. 4
1) 5
8 10
( 17
2) 8 6
( 10
3) 2
10
7 14
25
4)
5:5:10
5) 2
15 25
( 22
- 18. 6) 2
9
12
( 24
7) 7
25 ( 84
8) ABCD BC = 10 CD = 5
AD = 26 ? ( 48 24
9)
1 15
12
9
10) 10 4 8
3 6
25
11) 6
8 ( 20
12) 4
6 4
10
- 19. 13) 10
15 18
( 17
14) 13
5 ( 12
15) 26
24 ( 10
16) 9 12
15
17) 10.30 170
1 5
( 13
18)
157 227
19) 15 8
17
20) 100
24,600
- 20. 1. 3,4,5
2. 5,12,13
3. 7,24,25
4. 8,15,17
5. 9,40,41
6. 11,60,61
7. 12,35,37
8. 20,21,29
(3,4,5) (6,8,10) (9,12,15) (12,16,20) (15,20,25) (18,24,30)
(3,4,5)x2 = (6,8,10)
(3,4,5)x3 = (9,12,15)
(3,4,5)x4 = (12,16,20)
(3,4,5)x5 = (15,20,25)
(3,4,5)x6 = (18,24,30)
2
1.2