Question

The perimeter of two triangle are 30 cm and 20 cm respectively if one side of the first triangle is 9cm long . Find the length of the corresponding side of the second triangle​

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