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Byju's Answer
Standard IX
Mathematics
SSS Similarity
IF Δ ABC ∼Δ...
Question
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 = 15 cm, then find the length of QR.
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Solution
As in similar triangles, ratio of areas is square of
ratio of sides,
⇒
if
A
B
P
Q
=
B
C
Q
R
=
A
C
P
R
=
R
⇒
a
r
(
Δ
A
B
C
)
a
r
(
Δ
Q
R
P
)
=
R
2
Given
R
2
=
9
/
4
⇒
R
=
3
/
2
⇒
B
C
Q
R
=
3
2
⇒
Q
R
=
2
3
×
15
⇒
Q
R
=
10
c
m
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0
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Q.
If
Δ
A
B
C
∼
Δ
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,
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Δ
Q
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=
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4
A
B
=
9
4
,
A
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If
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R
)
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. If
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=
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are respectively:
Q.
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A
B
C
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Δ
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R
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e
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e
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R
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. If PQ=18 cm and BC=12cm, then AB and QR are respectively
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If ΔABC ≅ ΔPQR and AB = 4 cm, BC = 9 cm, PR = 7 cm, what is the length of AC?
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