Page 146 - Grade 10 C.Math

13.1 lqe'h / rt'e'{hsf] If]qkmn (Area of Triangle and Quadrilateral)
;fWo 1

{
}
]
'
]
'
]
Pp6 cfwf/ / pxL ;dfgfGt/ /vfx¿lardf /xsf ;dfgfGt/ rtehx¿sf Ifqkmn a/fa/ xG5 .
]
yfxf lbOPsf] M Pp6} cfwf/ BC / pxL ;dfgfGt/
/]vfx¿ BC / AX lardf ;dfgfGt/ A Y D X
Curriculum Development Centre
rt'e'{hx¿ ABCD / BCXY 5g\ .
k|dfl0ft ug'{kg]{ M
;=r= ABCD sf] If]qkmn = ;=r= BCXY sf] If]qkmn
k|df0f B C
tYox¿ sf/0fx¿

1. ABY / DCX df 1.
(i) AB = CD (e'=) (i) ;=r= ABCD sf ljk/Lt e'hfx¿ ePsfn]
(ii) BAY = CDX -sf]=_ (ii) AB//CD ePsfn] ;ª\ut sf]0fx¿ a/fa/ x'G5g\
(iii) BYA = CXD -sf]=_ (iii) BY//CX ePsfn] ;ª\ut sf]0fx¿ a/fa/ x'G5g\
2. ABY  DCX 2. e'=sf]=sf]= tYocg';f/
3. ABY = DCX 3. cg¿k lqehsf Ifqkmnx¿ a/fa/ xg ePsfn ]
'
]
'
'
]
4.ABY + ;=n=r= BCDY = DCX + ;=n=r= BCDY 4. bjtkm ;=n=r= BCDY hf8bf a/fa/L tYocg;f/
'
]
{
}
\
'
5. ;=r= ABCD = ;=r= BCXY 5. l;ª\uf] 6'j|]m tYocg';f/
j}slNks tl/sf
yfxf lbOPsf] Y
A D X
;=r= ABCD / ;=r= BCXY b'j} Pp6} cfwf/ BC /
pxL ;dfgfGt/ /]vfx¿ BC / AX lardf k5{ .
kdfl0ft ugkg M ;=r= ABCD sf If=s= = ;=r= BCXY sf If=s=
]
]
]
{
]
]
'
{
|
/rgf M cfwf/ BC df nDa DE lvRg'xf];\ . B E C
k|df0f
tYox¿ sf/0fx¿
1. ;=r= ABCD sf] If]qkmn = BC x DE 1. ;=r= sf] If]qkmn cfwf/ / prfOsf] u'0fg kmn
2. ;=r= BCXY sf] If]qkmn = BC x DE x'g] ePsfn]
3. ;=r= ABCD sf] If]qkmn = ;=r= @= tYo 1 df h:t}
BCXY sf] If]qkmn 3. tYo 1 / 2 af6
k|dfl0ft eof] .

143 ul0ft, sIff – 10