Question

The perimeter of two similar triangles
triangles are 24cm
and 18cm respectively. If one side of the first
triangle a 8 cm, what is
the corresponding side
of the
other triangle? [Ano: 6cm]

Answer 1

Answer:

Both the triangles are equilateral (Given)

Perimeter = 3(side)

Side of Triangle ‘a’ = 8 cm

Let side of Triangle ‘b’ = x

⇒ 3(8) = 24

⇒ 3x = 18

x = 18/3

x = 6 cm

The side of Triangle ‘b’ = 6 cm

Hope it helps

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Answer 2

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

FDAB=Perimeter of DEFPerimeter of ABC

⇒FD8=1824

⇒24(FD)=8×18

⇒FD=24144=6 cm