/ 1: 1

i - 4 step Q 7flgZt *,Is %xi! L j

.................................. ----------

'E =qlE L,tOlS%iz s e t q t%!SlEt.

step @ 7(= SX~~Z S!WSti! SX114 k t O l E S A, B, C 3811Z Lt+q W Y Z AIk@!g 7 I S t !

1 I ! 'E =XIIS agilq9 w4etq

$+sZtet%gjLl El. ; 1 step Q ggg =XI1 5flSE!S O_IJgIXC! o I ,

I ,, i I

T : step 0 ~ ~ t ~ y e g ~ t ! 0 2 ,

=l:,zil"P 'd'1 018"01 L,-q"l ,, ,#,L.~:,,!# r , , . +$ 1!3i i z , : "Ic,

c -*I, 3 q<,*L?j ,r:<-L,k,

; . - . I ; / , . gqE!y LH$ gfll gsQ g g t Z t E H & L l ~ t , - ~~ ,-.,: ,.,, ~, i 1' --

P - , . 8 ocn, ~ - 5 ,., :<I,,

S X j 1 4 ZEH, %HgqI A E E l + q+J 7Hg 821, S O 1 sy 31 Kt21 SXjIs g 5 Z t E w F x i I %HZ &+s 31s 3 z.55 ~ t z & ~ l c t ,

gsq( LHFt Ol%H7t -51 g ! P q l t 49% 3 1 7 t A j 7H;Q ctA( Ft g qg P g o X i l g gq 6 5 ZtAlEt.

, , sii , . . ,, - . ~ , . 1 : . +-,!-: bI4C-l

-7 -015Q XjIA13 E3011Aj AlgCdI IF SXj14+ LHG gXj1fiLlCt. LHGE3Zt Btnll E301lAj 3 0,!+ E X j I k 61, g, 3EtA lq k t O l E A{1gG.t6H qt2 A13 , 1 g x i p 1 iUtI4Lt5t 3 %k Eg Ikg y ts%eLlL t .

012,v! A j l gZ tg Eg 5 L H ~ gXj1g01 70% Ol",q E 3 g L I C t . SLE

L H ~ 1 E\ g g 6 t x p t q qd 5 q o 1 Z~LIC~,

e (SSEN 37dct2l)oll+ + 3Ft 0 10 17 1, +%I TI&, +%I Xq $q g f l l t ZYAj &FA\ q215 42 + %!ZG ZtZ&LlLt,

47,F@7,Ff$ollAj &)*& ;5rlz yJ+ f 3q 301s 7,FTF a, b q __-- - I nlEtZ2tAq 32lk 47,t",t7,t

gqlAj0,t 4851 + 3~1. 5 iz , 33q 301s c q 3 q, c2=a2+ b2 - 44*d7SWlAl .lW Y O l q 4 W

01 A' %?w. L t W X I + Y4 YOlq X i E 4 Eta a t .

g=E!1q gg + qd 1, moll cH5tCr=

52.- I%* qq@qf$ ABCqlAj 33 A B S 3 AABCQt AABDk m7t O,' YO(3 &0171 &Q&Z

3 s 5k g A i 7 , F g AFGBq do]+ w x l f 3 BC, AABC= AABD

C A 8 q7,F 3-93 S k + ?jA)?Fq BHIC, ACDEq -1 01 q q* Qq-. O OAFGB= OBHIC+ OACDEO] EZ

AB2=BC2+m2 *b*K%4 'do I t 3 Y q g O 1 4 XiEa 'W

I

I - - - - -I - -- -- -- & 4*@7,Fq ABCq 4 3 % 3 gS?.?ii %)+ 4) 4 A \ q q ACDE, I

AFGB, BHICS If-lq +a3 CollAj ABql qg f gq 2% '

L, 1 gXJ44 FG7] $q+ 3 % Mo] 4 51% I rAEAB-ACAF(SAS SZ)

nEAC=nEAB=nCAF=nLAF-- -

m//m m//m f nEAC=nLAFo]% ' dO l7 t 2s *7,%s 1" 01; 0""

OACDE = 2 nEAC= 2 LAF = OAFML !0_('l 2s AEt3g z s t ~ E @ ~ M G

&F+ tl ,F*O %]@ D nHBC= AHBA= nCBG= ALBG

f AHBC= ALBGo]% OBHIC=ZAHBC=2ALBG=OLMGB

q44 UACDE= OAFML, OBHIC= I7LMGBo1% at

OAFGB = OBHIC+ OACDE 2 -2 - :. AB =BC +CA'

0009 W QW z%i+ 2 01 L A7F q7,Fg @qF3j ABCq q 3% 3 323 Z k hj] 3Af7,F

3jollAj -11Bc% q, OADEB= OBFMLOdS $9 5- 43 01 q. b~)-(d) oll ",F",Fg 3% 4w4.

=a - 0 0 - -

AEBCPF AABFollAj - -- EB=AB, B C = ~ , LEBC=LABF

:. AEBC=AABF (I 0%) o l q EB//DC, BF//AMoIEz

AEBA=AEBC= A A B F = m

.'. OADEB= OBFML - - . -

I

9s 134 201 47,F%7_Fg ABCOlIAj f

38Fq 3 @q 3017F a + b 9 3 A F 7 , F g CDEFS 1qg AABC- AGAD= AHGEE ABHF (SAS BE)

01% OAGHBg 3 A F 7 , F g o l q .

OCDEF= OAGHB+4AABCo]E.S

... #&# 7 pili,gI $3 -

9- ~ g - j o l l ~ j ADEB= nBCA(SSS 3++)0]oZ n D B A k D

L DBA = 90" 9 4 7,Fo]+3E-,Fqgo] q . x+.=9O001% a

ODECA= ADEB+ nABC+ n D B A o 1 ~ 3 LDBA = l e o " - ( x + . ) ;, ... .... .... 1 1 1 1 =90° ,(a+b) (a+b) = T a b + T a b + ~ 2

9- 134 201 *7,F+J7,Fg ABC* Qz9 37Hq +)7,Fg o n = 2;o-l *At*+# ABDES YE$ OCFGHk 3 @q 4 0 1 3 a -b9 %AF?Fgolq .

OABDE=4AABC+ OCFGHo]%

1 c2=4 x T a b + (a-b)' . C ..

:. c2=a2+b2

41 34 3017F qF7,F a, b, c 9 %?+# ABCOI14 0 i i ~ ~ t z z t ~ o l 9 __-- - I A*'', q&t&tqtgq Ail t$q 20171 3 c2=a2+b2

b + %k Ail X t Y + Z k 9 3747F 01 @7,FgS ggq -1017F c 9 471F%?F (3, 4, 51, (5, 12, 131,

... ....... ...... g.01 q. - B'---- a ..-- 'C (6, 8, lo ) , (8, 15, 17), 0 1 ~ c t . olat 20 I IIIE~ZZ~A

q s Z l 5 O,t+Al7lk Ail XtY+

&@ 41 @ q 4017) 7,FGF 1 cm, ficm, O c m 9 +!d-71Fg ABCO114

( 0 ) 2 = 1 2 + ( m 2 O]D 37,Fg ABCk 9Wl 4017) O c m 9 4zF@Z,F%01q. 014 Qol ~ i ] ] gL?l 4017) Fqa +)7,Fg0] 47,F.'d-7,Fg94 %&)LLq% 7)xJ 3 Wl 401q 3134 q-qxl+ gq 401q 313q 3 % ~123 * % W .

00 14 2- 1 % ~ 359 47,~

+f7,Fq 4 7 1 s o]+s)q 34 3 017) a+ b 9 3 A ) z F q C D E F S 9s 301q. "15 01-$";Fq qqx q & q x d q s 3 $ % k q ~ d 0 ] q

gq P% q , (71.) -Q o ~ I " ~ F " , F ~ 3% 4 2 q 4.

[0015-00l71 P e lad21 3AtTt A -- .4cm 5 3 ~ ~ .

% ABCD WlAi - - - -

AE=BF=CG=DH=3cm, ---- ED G

AH=BE=CF=DG=4cm OE] KH, C E 7SM2t.

F C

001 5 mq 401

0026 sea 9- 1"d 201 7 qq4q 3017) 7,,qF 18 cm, 24 c m g n)

18 cm 59q igq ?go]+?

0 1 4 c m @10ficm C

@ 6 f i c m @15cm

@ 4J15cm

.3 cm. 0

0029 @ea 9- 1% q 3A)qFg ABCD GC-4 301q Tl-4 .aF 7 F 2 o 2g 3~)qFqjg F) E L 4 1- +$Zl?7.9qdil, *%0144s B c E

g <) 3% 6k 3 A)qFg g FJ 3rEj ElS7F?

@ A E @BE @BF @DE @DF

0032 @e@ agq 1% q 4 q F k F q F g ABC

"14 ~C=90"$! q , xq a$? C /.\0101\ 2017) 24cm9 S 3%qq A A B C ~ \ ~ B = 9 0 O 9

0 14 @ 15 4+$qFf$~] q%q. F A, C

-- AC,=AB,=/Ta, - - AC,= AB, =2a,

A D F H J

JZ

B'~::-..Jz~ .-..- --.c E G,.-,'I -.__ --. - -... ...- ---

0054 Sea 9- 1"d OABCDoll Aj

- - LA= ~ C = 9 0 ~ 0 ] 3 AB= AD,

BC=5, CD=J?OJ q , ABq 2 /-)

Olk? B -- ...-.-- ---.-.-- ---'i:

0 2 0 2 0 0 3

Q q F q ABCq 7,F 9% @ 99 A

q. f xdA)7,F% AHIB, BJKC

0064 sS@ .Qw 33s ,",'7,F@qFq ABC

q1Aj 3% 3 9% Z k 41 H

xd A)7,Fg g 19 301 q. OAFGB = 35 cm2,

35 cmZ OACDE=15cm2$2 q, AABCq 301% +W4. G

0065 @S@ .Qw I$S 47,FF7,F3j ABC

7,FgQ I 9 gO1q. AABCq H

$017) 10 c m 2 0 1 ~ OADEBq

$017) 25cm2% q, f 8 A ) q F g BFGCPF ACHIq $ O l q 3% +w4.

AB, BC, C A S qFZF @ 9% q+ 41 4 A ) q F g g 1 3 q .

0067 Qw 1%~) 201 LA= 90 '9

."_1qFQ7,Fq ABCq 3% 3 3% q-+ Aj] x5 A ) q F g g 3 %

q. m=10 cm, ==8 c m g

q, n B F N q $01S +%)q4.

M G

0068 @e@ ~ ~ M ~ g q ? & o l , ~ A = 9 0 ' 9

q q A B C 1 A , _ BC, C A S qF7,F 3 99s S k H

A\ +p\-g Igq. 9 7 Iqpj . n E B C q 3 017) 7,FP 3s Z5 % 7H97)? K~

(1) AEBA (4 A ABF (4 ABCI

(2) ABCH (4 A ABC ( ~ 1 +OBFKJ

O 27H 0 37H 0 47H

@ 57H 0 6 7 ~

1 g g 1 A = 9 o 0 g @jF+,,q 3 A B C ~ A ~ -1s 3 g s 5~

8A)qF$l BDECS 19 301q. m = 8 c m , ==6cm9 q, 49% B B O L O L'7 r - l d 1 - z .

D E @ 50 cm2 @ 54 cm2

@ 58 cm2 @ 64 cm2

0 68 cm2

AABC= AGAD= AHGE = A BHF

@ OEFCD= OHBAG+ 4AABC

9- 1gq 4AF7,Fg ABCD q1.Ij ---- AE=BF=CG=DH=7

013 OEFGHq -1o17F 589 q, OABCDq -1olS?

D E L

AB=6 cm, nAED=50 cm2

0080 sea ag+ILgsagq+q A

7,Fg?g A B C q C D E S

01ssfq " \qqt ABDE Cm 3 cm

S ",Fg 301q. 01q mq D

3 01s 'F~FW.

= AEAH

@ OABDE, OCFGHk ?YAtq%

Q OABDE= OCFGH+4aABC

E 0 c2=a2+b2

a- ~ W p j 47Hq 4zF%zFq 2% ~ 5 0 1 ~ 1 U A B C D ~ -101

+ 270)q. ==3% q, OEFGH

q %fw g01k?

6(@-1) @ 6 ( 6 - 1 )

@ 12(JZ- 1) @ 12(fi-1)

@ 12(3--JZ)

0085 sea a- I%]A~ 47Hq zjqF+FqFg S LL+ 35013 UABCDq

O E F G H q -101% &FqF 40, 16%

ZrH, x q as? 00 @ a 043 06 047

ABCDS T3;;Cd B7F ;;Cd Doll D

arg ;.d%q. ~ 3 = 1 5 c m , 15 cm / - -

BC=25cm$ 4, A'Eq -101 C

k? " 25 cm

0097 sea a- 13s 4 A ) q F g

ABCDS T3;;Cd B7F ;;Cd DOll

ar%- 4 s ??iO1q. AT= 1 2 cm, QD= 13 c m g

4 , BCq go]+?

+FqFg 90Jq 30125 ms 3s 4- S)q T3;;Cd A7F g BC

q -1% Doll =%- a%=+. 014 " 6 cm-'

-- AB=BCo,! Y q 0 1ggH7,tg

@ DB=xZ 2SFj -- DAf=DA=a-x

c @ ADBA'G~IA~

( ~ - X ) ~ = X ~ + A ' B ~

7,Fg P O J q 501gmg +j+ 42 Z 8Fq 2+3% B7F ACq -1% D

oll QFg ;"d %q. 014 AAEDq ,: B

(L) 2cm, 3cm, O c m (E) 12 cm, 15 cm, 20 cm (2) 8 cm, 4 cm, 4 0 c m - - -. - - - - -

0 2cm, 3cm, 4cm @ 5cm, 6cm, 7cm

a 6 cm, 8 cm, 10 cm @I 2ncm, 2Ocm, 4cm

@ O c m , 2 cm, f icm ~

1 g o l l ~ j 3 G k AABC A

q FI ;~ . ' ~Q]X ==8 cm, 8 cm

CollAj 44 loll LHg '3 1

qF7,F D, Eq5l-x). m = 3 c m , ==2cm% q , BE q go\+?

0111 VB 12% R% 01

a* 134 go] @ gq 201 A ...- --I2 cm- ....

7) 12 cm?J X@)qFg ABCDol]

Aj -1ABq 8Foll qq-q - C F = 4 m c m Q I q . CFeF DA q g5p4q iz3g E q % q, AAEFq AQl+?

01 12 GJ 12% RS 01

a* 1 g q p j Elm, ABlDEQIX E = 2 ,

==4, m=50? q, AABC A

q 3Ql+? B' c“-- -.... - .:D

9 0 0, 0 5 0

01 15 f3 1p 03 02 ,# - rr

ew g o ] 3 gq 3 A ..;. ----12-----...

017) 1 2 9 xdAF71Fg ABCDoll Aj BC qq 4 Poll qqq L P A D q -115S4o1 CDeF

P ",Fq-k 4% E, BCq -1%F4qL c

q-q-+ 4 g F q 8 ) x ) . m = 4 g q, APq go]+?

@ 7 0 0 13 0 6 6

@ 14 0 100

01 18 @ 17% %s 07

2- I W I A j mq 3 A . . . . . . . . . . - 13 cm

Olk? 5cmbF @ 4Jllcm

B'. 3 cm

0 8 0 c r n D

0 4J13cm

@ 4 m c m

0 4J15cm

0121 a 1 8 % ~ ~ 09

2- 33% L A=90° 9 qqj+F71F

g ABCqlAj -1% g- 9% 5.

3 A F q F g BDECZ 33 301q.

@ lcm

2- g-01 AD= 12 cm, CD=5 cm

q A F 7 , F q ABCDS

0127 lgj 12% s3 01

a- ILgq 7,FS g a g l A F g

9 A B c D q l ~ j m=2 cm, m=4 c m g q, BDq 401 $5 75I-q q.

0128 @ 12% ss 01

a- IL~* g-01 3017) qFqF

25 cm2, 225 cm2g 7 aAF?%

ABCD, ECGFS Sq %%q.

o lq BFq 401s 7q-qq. C G

01 30 as+ ILgq GF& qqqz ABCD qP.1 a= 10 cm,

AD= 13 cm, E= 12 cm,

BD=x cmg q, x q a2 7%) q.

0131 6~ l e ~3 09

ILgS Z)qF+FqF% ABC

A)-2 3% 301q. AEBN I

q 3017) 16, ANADq 301 H

7F 9% q, 4qF.'d-?+3 ABCq

~ l l q 401s 75l-W. F

@ .,Fqqq gx*7;!

@ L C @ ~ O ~ C J ] ~ c2@a2+b2 h,t7,134 Ail yq 30171 7,q

Q L C O ~ O ~ ~ ] ~ c20a2+b2 nlEtXZt4 34

+ lb-cl <a<b+c

@ L C ~ 90°01g c28a2+b2 la-cl <b<a+c la-bl <c<a+b

- . - - 0 . . . - . . . . -,

LA=9O0q .7_]7,F.'d-7,Fg ABCqlAj m ~ B C % q , @ iLJElZ2lA21 221 0 a2= b2+c2 Q qq\.",t.qt.gq gtg 0 C2=ax, b2=ay, h2=xy

@ qqt.%q\%q 301 0 bc=ahQ

(2) i i IE f~2fAql B+l% 01ggt qq~7,g521 3s /A=90°9 .7_]7,F.'d-7,Fg ABCqlAj 4 D, E7) 7,F7,F -- AB, AC 4"11%$ q

DE2+BC2=BE2+CD2

0 1 34 2% 6F71Fg ABC 7F gqF@q~g 01 q sg z)k q ~i X -

3 4 s T5l-q q. (9, x7F 7F3 d WI 40101q.) /

B ......... .......... 'C

0142 f%S0S+Z%i+7EF g 471F6Fqg ABC qpj DE2+BC2=BE2+CD2 B C

01 Ajqgg~g%k*~o]q. (7F)-(*011"2F",F+ 3% 4 '4 qq.

0160 @7,Fgq -14) 94 3017) WZ) gz q, zq.',F7,Fg 9 3 S?

@)3cm, 4cm, 5 c m @ 4cm, 6cm, 8cm

@) Gem, ncm, 2 0 c m @ 5 cm, 6 cm, 7

@ 8 cm, 9 cm, 11 cm

0166 @e@ a- IW 201 dA=9O0

3 4 qF.',Fq,g ABC O11 A j 0170 s e a 2- 1 g Z ) 201 LA=90°

9 4 qF+FqF9 ABC O1I A-1 ---

A m

AHIBC, AC=4cm, B H'2cm , C

m = 2 c m g q , AABC4 3 01+?

~ - ~ ~ Z ) @ ] L B = ~ O ~ O J A

4 qF+FqFg ABC .11 Aj 3 crn ---

ACIBD, AB=3 cm,

0173 e e a 9- I", 201 /A=90°9 A

4 &F+FqFg ABC O11 Aj -- A D I B C O ] ~ ==6, E = S B /

D 9 q , AD^ goiz 3-510clq.

0174 e e s agq 134 g o ] /C=90°9

4 &F.,F&Fg ABC Ol1 Aj -- AC : BC=2 : 3% q , BCq aO1 k? B

SSEN 3 @BSAI

0177 e e s a- ~ $ q 4 &F+FqFg ABCOll A --

Aj AB, BCq 33% qFqF D, E q D

8F;xF. = = 6 9 q , AE2+CD2q as? E

- -

9- I%* 201 AC I B D 9 A)

qg ABCDollAj m = x c m ,

0181 sea

0183 sea 9- I $ l q -1F7,Fg ABCDoll-1j f qq-$01 451.3 q, x2+y2q a +% +wl*.

C

0185 ee@ 9- 201 OABCD q 7 qq401 4 Oqhj *51.

q-3 AB=3J10, BC= 15,

SSEN ~ B W I .A

0186 m i 2- 3"d Go] q A F q g ABCDq -1LHqO-113 4 P7F %q. AP=5 cm, B P = 4 cm,

-=3cm% q, DPq -101+?

q -147) 71Fq 60m, xm, ad m

20m, 10J15m% q , 7FSol7F BZqlAj SH&Fccl

4 k m z 3wj 50lEl7fx17k q1 S %4k;(l +SF

ccl *.

B,

Y AB, AC, BCS X E S Z Zik 9 34 901s ?'?' Sl, Sz, S30121 a,

S3=S1+Sz

0193 9- 39s == 12 cm, -

BC=13cm, ,LA=90°9 47,F @qpg ABCq 9% qSL?jZ q+ Aj1 *gg 33 go]+. 01 q q%J3 *q go]&?

2- 201 ,LA=90°9 q7,Fo]+tJ+jpqpg B C q 9 g 7 , 5 A

g q, q%J@ *q $015 ?5) 20cm

"I.

0195 @@@

9- 394 201 ,LA=90°9

qqp@qpg ABCq Aj1 9% ~ 1 % L?jZ Z k All 934 3aq. AB=15cm0]~, 433 +!$q 9017) 60 cm" "?., BCq -101&?

0200 0% 36% %S 03

9- 1gq 201 L C = ~ O O

9 47,1-.',F%1-3 ABCqAj

ABlCH% q, x-yq as I F W *.