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UPSC CDS Math Triangles Questions
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© examsnet.com
Question : 2
Total: 68
The perimeters of two similar triangles ABC and PQR are 75 cm and 50 cm respectively. If the length of one side of the triangle PQR is 20 cm, then what is the length of corresponding side of the triangle ABC ?
[2019 CDS-II]
25 cm
30 cm
40 cm
45 cm
Validate
Solution:
Given that the area of the
∆
A
B
C
and
∆
P
Q
R
are
75
c
m
and
50
c
m
respectively.
Then,
A
B
P
Q
=
B
C
Q
R
=
C
A
R
P
=
A
B
+
B
C
+
C
A
P
Q
+
Q
R
+
R
P
=
75
50
=
3
2
Let
P
Q
=
20
c
m
,
then
A
B
=
3
2
P
Q
=
30
c
m
© examsnet.com
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