( ) ( )
( ) ( ) 30 ( )( )( )( ) 40 ( ) ( ) ( ) ( ) 45 ( ) ( ) ( ) ( ) 50
। ABCD ABCD ABCD ABCD ACACACAC ∠ ==== ? ? ? ? ( )
( ) ( )
( ) 40 ( )( )( )( ) 45 ( ) ( ) ( ) ( ) 50 ( ) ( ) ( ) ( ) 60
26।
∠ ∠ ==== ? ? ? ? ( )
( ) ( )
( ) 3X ( )( )( )( ) 5X ( ) ( ) ( ) ( ) 8X ( ) ( ) ( ) ( ) 4X
।
। ।
। , , , , , , , , , , , , , , , ! "# , , , , , ! "# ! "# ! "# ? ? ? ? ( ) ( )
( ) ( ) $ ( ) ( ) $. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) . ( ) ( )
।
।
।
। (i) (i) (i) (i) '( ) = () *+, -'+. '( ) = () *+, -'+. '( ) = () *+, -'+. '( ) = () *+, -'+. – )*(/0 -'+. ) + )*(/0 -'+. ) + )*(/0 -'+. ) + )*(/0 -'+. ) + (ii)
(ii) (ii)
(ii) 23( )45+= 23( )45+= 23( )45+= 23( )45+=
(iii) (iii) (iii) (iii) 6 = 6 = 6 = 6 = (/ 7 2 +/8 )9 ?
(/ 7 2 +/8 )9 ? (/ 7 2 +/8 )9 ? (/ 7 2 +/8 )9 ? ( )
( ) ( )
( ) (i) : (ii) ( )( )( ) (i) : (iii) ( ) ( ) ( ) ( ) (ii) : (iii) ( ) ( ) ( ) ( ) ( ) (i), (ii) : (iii)
;।
;।
;।
;।
23(23(
23(23( ---- $ $ $ $----=>=>=>=> ==== ----==== =$=$=$=$---- >>>> >>>>---- )45+
)45+
)45+
)45+ $$ $$ ;;;;
"# 23( (/0)?"+ 2 +/8
"# 23( (/0)?"+ 2 +/8
"# 23( (/0)?"+ 2 +/8
"# 23( (/0)?"+ 2 +/8 ( )
( ) ( )
( ) ( ) ( ) $ ( ) ( ) ( ) ( ) ( ) ( ) =$ ( ) ( ) ( ) ( ) = >
>
>
>। । । । 2 +/ @ : A/+ (/ BC )45+D + ? * ?2 +/ @ : A/+ (/ BC )45+D + ? * ?2 +/ @ : A/+ (/ BC )45+D + ? * ?2 +/ @ : A/+ (/ BC )45+D + ? * ? ( )
( ) ( )
( ) -'+. ( ) ( ) '( )45+/ ( ) ( ) ( ) ( ) ( ) ( ) A/)45+ ( ) ( ) ( ) ( )
(B/+EF G(* ? - (B/+EF G(* ? - (B/+EF G(* ? -
(B/+EF G(* ? -, , , (*H+ , (*H+ (*H+ (*H+
I/ +J/
I/ +J/ I/ +J/
I/ +J/ IK*+(LIK*+(LIK*+(LIK*+(L ' ? +' ? +' ? +' ? +---- > >> >> > > >
23(
23(23(
23( ---- " " " "
(*L : (*L : (*L :
(*L : (((( ((((*N(/*+7/?)*N(/*+7/?)*N(/*+7/?)*N(/*+7/?) )" :
)" : )" :
)" : > > > ("(/A >("(/A("(/A("(/A O "+/: O "+/: O "+/: O "+/: > > > >
[QRS: ) [QRS: ) [QRS: )
[QRS: ) T U "+/ )"+/। )T U "+/ )"+/। )T U "+/ )"+/। )T U "+/ )"+/। ) T U -. (B *] T U -. (B *] T U -. (B *] T U -. (B *]
। ।
। । 2 +/8 W B )45+ ? 2 +/8 W B )45+ ? 2 +/8 W B )45+ ? 2 +/8 W B )45+ ? ( )
( )( )
( ) ( )( )( )( ) ( ) ( )( )( ) ( )( )( )( )
। 8 +X * + + )+E+ 28 +X * + + )+E+ 28 +X * + + )+E+ 28 +X * + + )+E+ 2 8 +X 2*(C * ? 8 +X 2*(C * ? 8 +X 2*(C * ? 8 +X 2*(C * ? ( )
( )( )
( ) =8 ( )( )( )( ) 8 ( ) ( ) ( ) ( ) $8 ( )( )( )( ) 8
। YJ I4 (*(CR ! 8 )45+ BC Z+/? I4 YJ I4 (*(CR ! 8 )45+ BC Z+/? I4 YJ I4 (*(CR ! 8 )45+ BC Z+/? I4 YJ I4 (*(CR ! 8 )45+ BC Z+/? I4 !*4 !!*4 !!*4 !!*4 ! Z+/? I4 Z+/? I4 Z+/? I4 Z+/? I4 )45+8 ?
)45+8 ? )45+8 ? )45+8 ? ( )
( )( )
( ) ; ( )( )( )( ) ( )( )( )( ) = ( )( )( )( )
====। => $ => $ 2 2 +/ [Q " )45+ \+ + ]+ => $ => $ 2 2 +/ [Q " )45+ \+ + ]+ 2 2 +/ [Q " )45+ \+ + ]+ 2 2 +/ [Q " )45+ \+ + ]+ ]+ ^ O * * ? ]+ ^ O * * ? ]+ ^ O * * ? ]+ ^ O * * ? ( )
( )( )
( ) ( )( )( )( ) ( )( )( )( ) $ ( )( )( )( )
। ! 8 W B )45+ ! 8 W B )45+ ! 8 W B )45+ ! 8 W B )45+ ++---- ++ (i)
(i) (i)
(i) >>>> (ii) (ii) (ii) (ii) (iii) (iii) (iii) (iii) (/ 7 2 +/8 )9 ?
(/ 7 2 +/8 )9 ?(/ 7 2 +/8 )9 ? (/ 7 2 +/8 )9 ? ( )( )( )
( ) (i) : (ii) ( )( )( )( ) (i) : (iii) ( ) ( ) ( ) (ii) : (iii) ( ) ( ) ( ) ( ) ( ) (i), (ii) : (iii)
$
$$
$। ) I_'+) I_'+) I_'+) I_'+ O* +(C : -. +(C )"+/ O* +(C : -. +(C )"+/ O* +(C : -. +(C )"+/ O* +(C : -. +(C )"+/ + ? * ? + ? * ? + ? * ? + ? * ? ( )
( )( )
( ) ! +_'+ ( )( )( )( ) D` I_'+ ( ) ( )( )( ) ("3 I_'+ ( ) ( ) ( ) ( ) ) I_'+
। ।
। । a =a =a =a == : , = : , = : , = : , aaaa ==== > : > : > : > : a a = a a = a a = a a = ? ? ? ? ( )
( )( )
( ) =;:=>: > ( )( ) =;: >:=> ( )( ) ( )
( ) ( )
( ) =>:=;: > ( )( ) = : >:=> ( )( )
(*L 2 +b:
(*L 2 +b: (*L 2 +b:
(*L 2 +b: >;>;>;>;
। (' + : F(' + : F(' + : F(' + : F * ) I_'+ * ) I_'+ * ) I_'+ * ) I_'+ : =: =: =: =। । । F। FFF * ) * ) > * ) * ) > > > *X *X *X *X ,(' + * ) ,(' + * ) ,(' + * ) ,(' + * )
? ? ?
? ( ) ( ) ( )
( ) == *X ( )( ) = *X ( )( ) ( )( )( ) *X ( ) ( )( )( ) $> *X ( )
;;;;। YJ8 +(C I_'+ YJ8 +(C I_'+ YJ8 +(C I_'+ : YJ8 +(C I_'+ : : । : । । O* +(C । O* +(C O* +(C O* +(C -. +(C -. +(C -. +(C -. +(C ? ? ? ? ( )
( ) ( )
( ) = ( )( ) =; ( )( ) ( )( )( )( ) ( )( ) $ ( )( )
>>>>। )"+_'+)"+_'+)"+_'+)"+_'+ ---- (i) (i)
(i) (i) 7+ 8 +(C c+ 7+ 8 +(C c+ 7+ 8 +(C c+ (ii) 7+ 8 +(C c+ (ii) (ii) T d 8 +(C )"+_'+( * (ii) T d 8 +(C )"+_'+( * T d 8 +(C )"+_'+( * T d 8 +(C )"+_'+( * (iii)
(iii) (iii)
(iii) " : " : " : " : +(C I_'+ +(C I_'+ +(C I_'+ +(C I_'+ : : : : ====c +(C I_'+ ' e )"+/ । c +(C I_'+ ' e )"+/ । c +(C I_'+ ' e )"+/ । c +(C I_'+ ' e )"+/ । (/ 7
(/ 7 (/ 7
(/ 7 2 +/8 )9 ?2 +/8 )9 ?2 +/8 )9 ? 2 +/8 )9 ? ( )
( ) ( )
( ) (i) : (ii) ( )( )( ) (i) : (iii) ( ) ( ) ( ) ( ) (ii) : (iii) ( ) ( ) ( ) ( ) ( ) (i), (ii) : (iii)
। ! 8 (6 f Wg (*f W g ! 8 (6 f Wg (*f W g ! 8 (6 f Wg (*f W g ! 8 (6 f Wg (*f W g I4C I4C I4C I4C ---- ( )( )
( )( ) +] * ( )( )( )( ) ( * ( )
( ) ( )
( ) 2 +/8J * /+ ( )( )( )( ) +] : ( )"+/ *
। ! 8 QS ! 8 QS ! 8 QS ! 8 QS % % % (% ((( (*f (*f (*f (*f + + + + +। QS8 (*f Wg +। QS8 (*f Wg +। QS8 (*f Wg +। QS8 (*f Wg = > = > = > = > A+ + A+ + A+ + A+ +
f Wg ?
f Wg ?
f Wg ?
f Wg ? ( )
( ) ( )
( ) =$> ( )( ) = > ( )( ) ( )( )( )( ) >> ( )( ) > ( )( )
। Di : DDi : DDi : DDi : D Z+/ (*(/" Z+/ (*(/" Z+/ (*(/" Z+/ (*(/" D ^ D ^ D ^ D ^ ---- ( )
( ) ( )
( ) "+/ " ( )( )( ) "+/ *+ 6 ( ) ( )( )( ) "+/ '( * / ( ) ( )( )( )( ) "+/ '( * / /+
====। ! D ^ 2 +/8 ? ! D ^ 2 +/8 ? ! D ^ 2 +/8 ? ! D ^ 2 +/8 ? ( )( )
( )( ) x 3x 15 ( )( )( )( ) x 2x 15 ( )
( ) ( )
( ) x 8x 15 ( ) ( ) ( ) ( ) x 2x 15
। m m m : m : : : nnn 2l + /+ m+]+(* )45+ n2l + /+ m+]+(* )45+ 2l + /+ m+]+(* )45+ 2l + /+ m+]+(* )45+ ---- (i)
(i) (i)
(i) a!. a# $ %&'( (ii) (ii) (ii) (ii) )* + $ )*+
(iii) (iii) (iii)
(iii) a! , a# $ %&-(
(/ 7 2 +/8 )9 ? (/ 7 2 +/8 )9 ? (/ 7 2 +/8 )9 ? (/ 7 2 +/8 )9 ?
( ) ( )( )
( ) (i) : (ii) ( )( )( )( ) (i) : (iii) ( ) ( ) ( ) (ii) : (iii) ( ) ( ) ( ) ( ) ( ) (i), (ii) : (iii 6
66
6। ) . 2 2 2 2 )/ ). ./ \+ + ]+ \+ + ]+ \+ + ]+ \+ + ]+ ]+ ^ ]+ ^ ---- ]+ ^ ]+ ^ ( )
( )( )
( ) a+b ( )( )( )( ) a b ( ) ( ) ( ) ( ) % %1 1 ( ) ( ) ( ) ( ) % %1 1
। 2 3 4 5 678 ! ) ^ ! )! )! ) ^ ^ ^ ? ? ? ? ( )
( )( )
( ) a x y z ( )( )( )( ) a x y z ( )
( ) ( )
( ) a x y z ( ) ( ) ( ) ( ) a x y z 8
88
8। ; <; $ ; <; ==== ? ? ? ? ( )
( )( )
( ) 5 ( )( )( )( ) 1 ( ) ( ) ( ) ( ) =5 ( ) ( ) ( ) ( ) 1 9
99
9। * *< $ / , , , , <
* = = = = ? ? ? ? ( )
( )( )
( ) 1 ( )( )( )( ) 1 ( ) ( ) ( ) ( ) 2 ( ) ( ) ( ) ( ) 0
>>>>। । । )"*+N ( s E । )"*+N ( s E )"*+N ( s E )"*+N ( s E 8 tu 2 + c+ ? 8 tu 2 + c+ ? 8 tu 2 + c+ ? 8 tu 2 + c+ ? ( )
( )( )
( ) ! 8 ( )( )( )( ) YJ8 ( )( ) ( /8 ( )( ) ( )( )( )( ) ! 8: /
।।।। ! 8 v . 2"+A 2 +! 8 v . 2"+A 2 +! 8 v . 2"+A 2 +! 8 v . 2"+A 2 + '( "+ '( "+ '( "+ '( "+ ? ? ? ? ( )
( )( )
( ) 100 ( )( )( )( ) 180 ( ) ( ) ( ) ( ) 270 ( ) ( ) ( ) ( ) 360
। 2 +/ ( /8 *+N wB d \+ + ( sE x + )y*2 +/ ( /8 *+N wB d \+ + ( sE x + )y*2 +/ ( /8 *+N wB d \+ + ( sE x + )y*2 +/ ( /8 *+N wB d \+ + ( sE x + )y*---- ( )
( )( )
( ) 2, 3, 5 ( )( )( )( ) 2, 4, 7 ( ) ( ) ( ) ( ) 3, 5, 7 ( ) ( ) ( ) ( ) 3, 5, 1 23
2323
23। A AAA EEEE
B DB DB DB D
CCCC
∠ ? ==== ? ? ? ? ( )( )( )
( ) ∠EDC ( )( )( )( ) ∠ACD ( ) ( ) ( ) ( ) ∠BAC ( ) ( ) ( ) ( ) ∠ABC 24
2424
24। ∆ ! ! ! ! AB=ACAB=ACAB=ACAB=AC ----
∠ ====FGG ∠ =?=?=?=?