Proof pythagorean theorem

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Proof of thePythagorean Theorem Have:A square inside a square. Visua\ Proo$ $o,^ t:,q,d) trianXlg. Ch I hdr 5.60-aoot$.C.f. fttrofi*trnn Pyil.axorqs -rat - 1trg.c.€. li b = Arrr, SnnqttS4na,.o :LT :.ct + f : * i-ac[ a --.*s#e) :L* q (* "L) + 1 (A,uo ,* lTru^qi.) 6uL f .o r,. d iq{ret nn g Fo' \, s CLT, ReJuc + + :L{b z A r"q Brg fr \r.qr( fr tb){a+u) aL+ q"b+4b +f ? q-+zabt -l * ?4h ) t\ f,,** h *1. I \J r\ai-'b Ult-a (^\ J*T \ OU e, f t t!."1 L,dn im r: $"'n*r*'* en\l f*ro tldeg o( tnie^${*u t *.e th,,*J slde * *, i g-,,t 1;i+ rJ -

Transcript of Proof pythagorean theorem

Page 1: Proof pythagorean theorem

Proof of the Pythagorean TheoremHave: A square inside a square.

Visua\ Proo$ $o,^ t:,q,d)tr ianXlg. C h I hdr 5.60-aoot$.C.f.fttrofi*trnn Py il.axorqs

-rat - 1trg.c.€.

l ib

= A rrr, SnnqttS4na,.o

:LT

:.ct +

f : * i-ac[

a

- - . *s#e)

:L*

q (* "L)

+ 1 (A,uo,* lTru^qi.)

6uL f .o r,.d iq{ret nn g

Fo' \, s

CLT, ReJuce

+

+:L{bz

A r"q Brg fr \r.qr(

fr tb){a+u)

aL+ q"b+4b +f

?q-+zabt- l* ?4h

) t \f , , * * h*1. I \J

r \ a i - ' b

Ult-a( ^ \

J*T \ OU

e, f t t!."1L,dn im r:

$"'n*r*'* en\l f*ro tldeg o(

tnie^${*u t *.e th,,*J slde* *, i g-,,t 1;i+ rJ -

Page 2: Proof pythagorean theorem

Proof of the Pythagorean TheoremHave: A square inside a square.

Visua\ Proo$ $o,^ t:,q,d)tr ianXlg. C h I hdr 5.60-aoot$.C.f.fttrofi*trnn Py il.axorqs

-rat - 1trg.c.€.

l ib

= A rrr, SnnqttS4na,.o

:LT

:.ct +

f : * i-ac[

a

- - . *s#e)

:L*

q (* "L)

+ 1 (A,uo,* lTru^qi.

L f .o r,.d iq{ret nn g

Fo' \, s

CLT, ReJuce

+

+:L{bz

A r"q Brg fr \r.qr(

fr tb){a+u)

aL+ q"b+4b +f

?q-+zabt- l* ?4h

) t \f , , * * h*1. I \J

r \ a i - ' b

Ult-a( ^ \

J*T \ OU

e, f t t!."1L,dn im r:

$"'n*r*'* en\l f*ro tldeg o(

tnie^${*u t *.e th,,*J slde* *, i g-,,t 1;i+ rJ -

Ted
Rectangle
Reasons
Page 3: Proof pythagorean theorem

Proof of the Pythagorean TheoremHave: A square inside a square.

Visua\ Proo$ $o,^ t:,q,d)tr ianXlg. C h I hdr 5.60-aoot$.C.f.fttrofi*trnn Py il.axorqs

-rat - 1trg.c.€.

l ib

= A rrr, SnnqttS4na,.o

:LT

:.ct +

f : * i-ac[

a

- - . *s#e)

:L*

q (* "L)

+ 1 (A,uo,* lTru^qi.)

6uL f .o r,.d iq{ret nn g

Fo' \, s

CLT, ReJuce

+

+:L{bz

A r"q Brg fr \r.qr(

fr tb){a+u)

aL+ q"b+4b +f

?q-+zabt- l* ?4h

) t \f , , * * h*1. I \J

r \ a i - ' b

Ult-a( ^ \

J*T \ OU

e, f t t!."1L,dn im r:

$"'n*r*'* en\l f*ro tldeg o(

tnie^${*u t *.e th,,*J slde* *, i g-,,t 1;i+ rJ -

Ted
Rectangle
Page 4: Proof pythagorean theorem

Proof of the Pythagorean TheoremHave: A square inside a square.

Visua\ Proo$ $o,^ t:,q,d)tr ianXlg. C h I hdr 5.60-aoot$.C.f.fttrofi*trnn Py il.axorqs

-rat - 1trg.c.€.

l ib

= A rrr, SnnqttS4na,.o

:LT

:.ct +

f : * i-ac[

a

- - . *s#e)

:L*

q (* "L)

+ 1 (A,uo,* lTru^qi.)

6uL f .o r,.d iq{ret nn g

Fo' \, s

CLT, ReJuce

+

+:L{bz

A r"q Brg fr \r.qr(

fr tb){a+u)

aL+ q"b+4b +f

?q-+zabt- l* ?4h

) t \f , , * * h*1. I \J

r \ a i - ' b

Ult-a( ^ \

J*T \ OU

e, f t t!."1L,dn im r:

$"'n*r*'* en\l f*ro tldeg o(

tnie^${*u t *.e th,,*J slde* *, i g-,,t 1;i+ rJ -

Ted
Rectangle
Ted
Rectangle