# e-book: let's learn พีทาโกรัส

Post on 23-Jul-2015

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## Education

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• : 563050125-2 2

• Lets Learn 241208 3 , .

• 8 1

9 15

16 23

-

-

-

• ConceptConceptConcept

• ?

?

1

• ABC ACB ( 90o) AB AC BC

^

___ ___

___

2

• :

?

?

3

• ?

(1)

(2)

ABC

MNO

?

4

• ABC ACB

c AB a BC b AC

c2=a2+ b2

___

___

___

^

5

• 6

• 1 c

c2 = 82+152 = 64 + 225 = 289

= 17x17 c = 17 17

?

7

• 2 a

242 = 252+a2 a2 = 252-242 = 625-576 = 49 = 7x7 a = 7 7

8

• ? 3,000 . . .

9

• ABC ACB BC 3 , AC 4 AB 5 ABIH, BCED ACGF AB , BC AC

ABIH 52 = 25 BCED 32 = 9

ACGF 42 = 16 25 = 9+16

ABIH BCED ACGF

10

• ? ..

11

• ?

1 20 12

x 202= 122 + x2 x2 = 202-122 = 400 144 = 256 = 17x17 x = 17 17

12

• 2 ABCDEFGH AF 8 AB 12 BC 9 FC ___

AFC FAC FC2 = AF2 + AC2(1) AC2 ABC ABC ABC AC2 = AB2 + BC2..(2) (2) (1) ; FC2 = AF2 + (AB2 + BC2) = 82+ (122+92) = 64 + 144 +81 = 289 = 17 x 17 FC = 17 FC 17 17

^

___

^

13

• 3 6 400 306

B A C AP PQ = AB PQ BC Q AB = PQ = 400 BC = 306 AP = BQ = 6 CQ = 306-6 = 300

PQC PQC PC2 = PQ2 + CQ2 = 4002 + 3002 = 160,000 + 90,000 = 250,000 = 500 X 500 PC = 500 500 500

^

14

• ...

...

Finish 15

• ... !!

• 16

.. ? ... !!?? :)

Write it down

• 13 1 3, 4 5 5 ... ?...

17

• ABC a, b c c2 = a2 +b2 ABC

18

• ABC AB = c , BC = a , AC = b c2 = a2 +b2 ABC ACB

DEF EF DF a b DFE

^

19

^

• EF = BC = a DF = AC = b () DEF DE2 = a2 + b2 () ABC c2 = a2 + b2 ( ) DE2= c2 () DE = c DEF ABC (--) DFE = ACB = 90o ( ) ABC ACB

^ ^

^

20

• ABC ABC

?

21

• ?

-

22

• ...?

6.5 2.5 1. 2. 6

1,800 2.4

23

• . (2553). . : . .

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