Question

Mathematics
8.
X Class - NTSE
The perimeters of two similar triangles are 24 cm and 18 cm respectively. If length of one side of first
triangle is 8 cm, then the length of corresponding side of the other triangle is 19]
1) 6 cm
2) 2 cm
3) 1 cm
4) 4 cm​

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