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Byju's Answer
Standard VIII
Mathematics
Dilations
Given Δ ABC...
Question
Given
Δ
A
B
C
∼
Δ
P
Q
R
, if
A
B
P
Q
=
1
3
then find
a
r
Δ
A
B
C
a
r
Δ
P
Q
R
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Solution
if two triangles are similar then ratio of equivalent sides is equal to the square ratio of areas of triangles
therefore ratio of areas of triangles is
1
9
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Similar questions
Q.
Given
Δ
A
B
C
∼
Δ
P
Q
R
,
if
A
B
P
Q
=
1
3
,
then find
a
r
Δ
A
B
C
a
r
Δ
P
Q
R
.
Q.
Given
Δ
A
B
C
∼
Δ
P
Q
R
, if
A
B
P
Q
=
1
3
then find
a
r
Δ
A
B
C
a
r
Δ
P
Q
R
.
Q.
It is given that
Δ
A
B
C
∼
Δ
P
Q
R
with
B
C
Q
R
=
1
3
. Then
a
r
(
Δ
P
Q
R
)
a
r
(
Δ
A
B
C
)
is equal to
Q.
If
Δ
A
B
C
∼
Δ
Q
R
P
,
a
r
(
Δ
A
B
C
)
a
r
(
Δ
P
Q
R
)
=
9
4
, AB = 18 cm and BC = 15cm, then PR is equal to
(A) 10 cm
(B) 12 cm
(C)
20
3
c
m
(D) 8cm
Q.
Δ
A
B
C
∼
Δ
P
Q
R
. Also,
a
r
(
Δ
A
B
C
)
=
4
a
r
(
Δ
P
Q
R
)
. If
B
C
=
12
c
m
,
then find
Q
R
.
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