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Byju's Answer
Standard X
Mathematics
Similar Triangles
ABC ∼ DEFIf A...
Question
ABC
~
DEF
If
A
(
△
ABC
)
=
9
cm
2
,
A
(
△
DEF
)
=
64
cm
2
and
DE
=
5
.
6
cm
,
then
find
AB
.
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Solution
Since
△
ABC
~
△
DEF
,
A
(
△
ABC
)
A
(
△
DEF
)
=
AB
2
DE
2
=
BC
2
EF
2
=
AC
2
DF
2
⇒
A
(
△
ABC
)
A
(
△
DEF
)
=
AB
2
DE
2
On
substituting
the
values
,
we get:
9
64
=
AB
2
(
5
.
6
)
2
⇒
AB
2
=
9
64
×
(
5
.
6
)
2
⇒
AB
2
=
3
8
×
5
.
6
2
On
taking
square
root
of
both
sides
,
we
get
:
⇒
AB
=
3
8
×
5
.
6
=
2
.
1
cm
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0
Similar questions
Q.
If
△
A
B
C
∼
△
D
E
F
and i
f
A
△
A
B
C
=
9
c
m
2
,
A
△
D
E
F
=
64
c
m
2
,
D
E
=
5.6
c
m
, then find
A
B
.
Q.
ABC
~
DEF
If AB= 2.4 cm and DE= 1.6 cm, find the ratio of the areas of
△
ABC and
△
DEF.
Q.
Triangles ABC and DEF are similar.
(i) If area (∆ABC) = 16 cm
2
, area (∆DEF) = 25 cm
2
and BC = 2.3 cm, find EF.
(ii) If area (∆ABC) = 9 cm
2
, area (∆DEF) = 64 cm
2
and DE = 5.1 cm , find AB.
(iii) If AC = 19 cm and DF = 8 cm, find the ratio of the area of two triangles.
(iv) If area (∆ABC) = 36 cm
2
, area (∆DEF) = 64 cm
2
and DE = 6.2 cm, find AB.
(v) If AB = 1.2 cm and DE = 1.4 cm, find the ratio of the areas of ∆ABC and ∆DEF.
