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Byju's Answer
Standard IX
Mathematics
Scale Factor of Length
If AC= 10 cm,...
Question
If AC= 10 cm,
A
B
P
Q
=
2
,
where
△
A
B
C
∼
△
P
Q
R
,
then PR =
.
A
5 cm
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B
10 cm
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C
20 cm
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Solution
The correct option is
A
5 cm
Given,
Δ
A
B
C
∼
Δ
P
Q
R
.
So, the ratios of their corresponding
sides are equal.
∴
A
B
P
Q
=
B
C
Q
R
=
A
C
P
R
Given:
A
B
P
Q
=
2
∴
A
C
P
R
=
2
⇒
10
P
R
=
2
⇒
P
R
=
10
2
=
5
c
m
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0
Similar questions
Q.
If AC= 10 cm,
A
B
P
Q
=
2
,
where
△
A
B
C
∼
△
P
Q
R
,
then PR =
.
Q.
The perimeter of two similar triangles
A
B
C
and
P
Q
R
are
36
c
m
and
24
c
m
respectively. If
P
Q
=
10
c
m
then the length of
A
B
is
Q.
P
Q
R
S
is a parallelogram of area
120
c
m
2
.
P
S
=
10
c
m
,
P
Q
=
15
c
m
Find
S
M
.
Q.
If ∆ABC ~ ∆PQR and AB : PQ = 2 : 3, then fill in the blanks.
A
∆
ABC
A
∆
PQR
=
AB
2
=
2
2
3
2
=
Q.
In
△
P
Q
R
, right angled at
Q
. If
P
Q
=
5
cm
and
R
Q
=
10
cm
find
sin
2
P
.
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