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, , and are similar. The perimeters are , , and respectively. A side of that measures…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
△
A
\triangle A
△
A
,
△
B
\triangle B
△
B
, and
△
C
\triangle C
△
C
are similar. The perimeters are
24
cm
24\,\text{cm}
24
cm
,
36
cm
36\,\text{cm}
36
cm
, and
54
cm
54\,\text{cm}
54
cm
respectively. A side of
△
A
\triangle A
△
A
that measures
8
cm
8\,\text{cm}
8
cm
corresponds to side
k
k
k
of
△
C
\triangle C
△
C
. Find
k
k
k
. (a)
16
cm
16\,\text{cm}
16
cm
(b)
18
cm
18\,\text{cm}
18
cm
(c)
12
cm
12\,\text{cm}
12
cm
(d)
20
cm
20\,\text{cm}
20
cm
Related theory
Similarity of Triangles
Similarity
Ratio and Proportion
Triangle similarity conditions
Triangles
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