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1
DIGITAL
TEXT BOOk
2
3
............................................................................. 4
.......................................................................................... 5
...................................................................... 8
............................................................. 11
....................................................................... 12
4
D P C
A B
ABCD . CD P
A,B APB .
= ABxAD P AB .
D P C
A Q B
= xABxPQ
,
5
AD = PQ
, = xABxAD
=
P CD , APB
, ABCD
.
D P C
A B
P CD
APB .
D C P
A B
AB P , AB .
6
D C P
A B Q
APB = xABxPQ = xABxAD
, ,
.
APB,AQB,ARB,ASB
.
P D Q R C S
A B
.
AB .
A B
, A,B
.
7
P Q R S
A B
, , .
.
ABC A .
C
A B
C AB
P A,B ABC
APB .
P C
A B
, AB , ABC
,
.
8
A
. A
AB .
P C
A B
AB = 4 .., BC = 5 .., CA = 6 .., ABC . , AB
.
AB = 5 .., BC = 7 .., ABC = 60 ABC . , AB ,
B 30 .
ABCD
.
C
D
A B
9
.
,
BD .
C
D
A B
C , AB E
.
C
D
A B E
DE ABCD
ADE .
10
C
D
A B E
AB = 8.5.., BC = 4.5.., CD = 5.., DA = 6.., BD =7.5 .. ABCD .
,
.
.
AB= 5.., CD= 4.., AD= 3.., DAB= 80, ADC= 120. ,
.
11
. ,
D
E
C
A B
ABCDE
.
D
E
C
A B
C BD AB
, BDC BDF
.
12
D
E
C
A B F
ABCDE , AFDE
.
.
,
.
,
.
. ,
,
.
.
.
,
4 , 5 , 7
.
13
.
.
4 + 5 + 7 = 16
16/2 = 8
,
8 4 = 4
8 5 = 3
8 7 = 1
, .
8 x 4 x 3 x 1 = 96
96 = 16 x 6 = 46
46 .
,
.
a,b,c ;
S . ,
S = (a +b + c)/ 2
s-a, s-b, s-c , (s-a)(s-b)(s-c)
14
= s(s-a)(s-b)(s-c)
..
13.., 14.., 15..
S= (a +b + c)/ 2
= (13+14+15)/2
= 42/2 = 21
= s(s-a)(s-b)(s-c)
= 21(21-13)(21-14)(21-15)
= 21x8x7x6
=7x3x2x2x2x7x2x3
=7x3x2x2
= 84 ...
10, 12, 15 .. .
5.. 8..
8.., 11.. 32 ..