△PQR ~ △ABC, PQ = 6, AB = 8 and perimeter of △ABC is 36cm, then perimeter of △PQR is ?
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Answer:
Since the ratio of the corresponding sides of similar triangles is same as the ratio of their perimeters.
∴ △ABC∼△PQR
⇒
PQ
AB
=
QR
BC
=
PR
AC
=
24
36
⇒
PQ
AB
=
24
36
⇒
10
AB
=
24
36
⇒ AB=
24
36×10
cm=15cmm
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