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ทฤษฎีบทพีทาโกรัส
1.
a b c a, b
c
2.
c a b n c a
b a b c
3.
c a b)
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
5.
a b , c 1.2. a, b
c
6.
c a b n
7.
a b c -- ABC AĈB a
, b c 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
9.
" c2 = a2 + b2 a
b c
10.
ABC C AB AC BC a A b
B, c C c 5 a,b 3 4 1. a 9 b 16 2. 2 3. 25 = 9 + 16 4.
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
15.
" c2 = a2 + b2 a
b c
16.
ABC C AB AC BC a A b
B, c C c 5 a,b 3 4 1. a 9 b 16 2. 2 3. 25 = 9 + 16
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
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