Question

Find the perimeter of the following.
(a) APQR with sides PQ=18 cm, QR = 14 cm, RP = 20 cm.
and Sm 25 cm​

Answer 1

Answer:

Let △ABC and △DEF be two similar triangles of perimeters P

1

and P

2

respectively.

Also, let AB=12 cm, P

1

=30 cm and P

2

=20 cm.

Then,

DE

AB

=

EF

BC

=

DF

AC

=

P

2

P

1

[∵ Ration of corresponding sides of similar triangles is equal to the ratio of their perimeters]

⇒

DE

AB

=

P

2

P

1

⇒

DE

12

=

20

30

⇒ DE=

30

12×20

cm=8cm

Hence, the corresponding side of the second triangle is 8 cm

Answer 2

Answer:

APQR with sides PQ =18 cm, QR = 14 cm, RP = 20 cm.