Proofof thePythagoreanTheorem
Have:A squareinsidea square.
Visua Proo$ $o,^t:,q,d)
trianXlg. Ch Ihdr 5.60-aoot$.C.f.
fttrofi*trnnPyil.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.)
6uLf .or,.
d iq{ret nng
Fo', s
CLT,ReJuc
+
+
:L{bz
Ar"qBrgfr r.qr(
frtb){a+u)
aL+q"b+4b+f
?
q-+zabt
- l
* ?4h
) t 
f,,** h*1. I J
r  a i - ' b
Ult-a
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J*T  OU
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L,dn imr:
$"'n*r*'*enl f*ro tldeg o(
tnie^${*ut *.e th,,*J slde
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Proofof thePythagoreanTheorem
Have:A squareinsidea square.
Visua Proo$ $o,^t:,q,d)
trianXlg. Ch Ihdr 5.60-aoot$.C.f.
fttrofi*trnnPyil.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.
L f .or,.
d iq{ret nng
Fo', s
CLT,ReJuc
+
+
:L{bz
Ar"qBrgfr r.qr(
frtb){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 tt!."1
L,dn imr:
$"'n*r*'*enl f*ro tldeg o(
tnie^${*ut *.e th,,*J slde
* *, i g-,,t1;i+rJ-
Proofof thePythagoreanTheorem
Have:A squareinsidea square.
Visua Proo$ $o,^t:,q,d)
trianXlg. Ch Ihdr 5.60-aoot$.C.f.
fttrofi*trnnPyil.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.)
6uLf .or,.
d iq{ret nng
Fo', s
CLT,ReJuc
+
+
:L{bz
Ar"qBrgfr r.qr(
frtb){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 tt!."1
L,dn imr:
$"'n*r*'*enl f*ro tldeg o(
tnie^${*ut *.e th,,*J slde
* *, i g-,,t1;i+rJ-
Proofof thePythagoreanTheorem
Have:A squareinsidea square.
Visua Proo$ $o,^t:,q,d)
trianXlg. Ch Ihdr 5.60-aoot$.C.f.
fttrofi*trnnPyil.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.)
6uLf .or,.
d iq{ret nng
Fo', s
CLT,ReJuc
+
+
:L{bz
Ar"qBrgfr r.qr(
frtb){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 tt!."1
L,dn imr:
$"'n*r*'*enl f*ro tldeg o(
tnie^${*ut *.e th,,*J slde
* *, i g-,,t1;i+rJ-

Proof pythagorean theorem

  • 1.
    Proofof thePythagoreanTheorem Have:A squareinsideasquare. Visua Proo$ $o,^t:,q,d) trianXlg. Ch Ihdr 5.60-aoot$.C.f. fttrofi*trnnPyil.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.) 6uLf .or,. d iq{ret nng Fo', s CLT,ReJuc + + :L{bz Ar"qBrgfr r.qr( frtb){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 tt!."1 L,dn imr: $"'n*r*'*enl f*ro tldeg o( tnie^${*ut *.e th,,*J slde * *, i g-,,t1;i+rJ-
  • 2.
    Proofof thePythagoreanTheorem Have:A squareinsideasquare. Visua Proo$ $o,^t:,q,d) trianXlg. Ch Ihdr 5.60-aoot$.C.f. fttrofi*trnnPyil.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. L f .or,. d iq{ret nng Fo', s CLT,ReJuc + + :L{bz Ar"qBrgfr r.qr( frtb){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 tt!."1 L,dn imr: $"'n*r*'*enl f*ro tldeg o( tnie^${*ut *.e th,,*J slde * *, i g-,,t1;i+rJ-
  • 3.
    Proofof thePythagoreanTheorem Have:A squareinsideasquare. Visua Proo$ $o,^t:,q,d) trianXlg. Ch Ihdr 5.60-aoot$.C.f. fttrofi*trnnPyil.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.) 6uLf .or,. d iq{ret nng Fo', s CLT,ReJuc + + :L{bz Ar"qBrgfr r.qr( frtb){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 tt!."1 L,dn imr: $"'n*r*'*enl f*ro tldeg o( tnie^${*ut *.e th,,*J slde * *, i g-,,t1;i+rJ-
  • 4.
    Proofof thePythagoreanTheorem Have:A squareinsideasquare. Visua Proo$ $o,^t:,q,d) trianXlg. Ch Ihdr 5.60-aoot$.C.f. fttrofi*trnnPyil.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.) 6uLf .or,. d iq{ret nng Fo', s CLT,ReJuc + + :L{bz Ar"qBrgfr r.qr( frtb){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 tt!."1 L,dn imr: $"'n*r*'*enl f*ro tldeg o( tnie^${*ut *.e th,,*J slde * *, i g-,,t1;i+rJ-