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Byju's Answer
Standard X
Mathematics
AAA Similarity
ABCD and BC...
Question
A
B
C
D
and
B
C
F
E
are parallelograms. If area of triangle
E
B
C
=
960
c
m
2
A
B
=
30
c
m
and
B
C
=
40
c
m
; Calculate
area of triangle
E
C
F
.
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Solution
We know that the diagonal of a parallelogram divides it into two triangles of equal area.
Clearly, EC is the diagonal of parallelogram which divides it into two triangle of equal area viz. triangle EBC and triangle ECF.
Given area of triangle EBC = 960
c
m
2
Therefore, area of tria
ngle ECF = 960
c
m
2
.
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Similar questions
Q.
A
B
C
D
and
B
C
F
E
are parallelograms. If area of
△
E
B
C
=
960
c
m
2
;
A
B
=
30
c
m
and
B
C
=
40
c
m
; Calculate
area of parallelogram
A
B
C
D
:
Q.
A
B
C
D
and
B
C
F
E
are parallelograms. If area of triangle
E
B
C
=
480
c
m
2
,
A
B
=
30
c
m
and
B
C
=
40
c
m
; Calculate;
(i) Area of parallelogram
A
B
C
D
;
(ii) Area of the parallelogram
B
C
F
E
;
(iii) Length of altitude from
A
on
C
D
;
(iv) Area of triangle
E
C
F
.
Q.
A
B
C
D
and
B
C
F
E
are parallelograms. If area of
△
E
B
C
=
960
c
m
2
;
A
B
=
30
c
m
and
B
C
=
40
c
m
; Calculate the
length of altitude from
A
on
C
D
:
Q.
ABCD and BCFE are parallelograms. If area of triangle
E
B
C
=
480
c
m
2
, AB = 30 cm and BC = 40 cm; Calculate :
area of the parallelogram BCFE
Q.
In the given figure find area of triangle ECF.
△
E
B
C
=
480
s
q
.
c
m
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