Question

The perimeters of two similar triangles are 18 cm and 12 cm. One side of smaller triangle
is 5 cm. Find the corresponding side of other triangle.

Answer 1

Answer:

Given that the perimeter of two triangles ABC and DEF are 24 cm and 18 cm

Then, AB+BC+CA=24

And FD+DE+EF=18

But both triangle are similar

Then

FD

AB

=

Perimeter of DEF

Perimeter of ABC

⇒

FD

8

=

18

24

⇒24(FD)=8×18

⇒FD=

24

144

=6 cm

Answer 2

Answer:

Answer

Given that the perimeter of two triangles ABC and DEF are 24 cm and 18 cm

Then, AB+BC+CA=24

And FD+DE+EF=18

But both triangle are similar

Then

FD

AB

=

Perimeter of DEF

Perimeter of ABC

⇒

FD

8

=

18

24

⇒24(FD)=8×18

⇒FD=

24

144

=6 cm