Question

If triangles ABC and DEF are similar and AB=4cm, DE=6cm, EF=9cm and FD=12cm, the perimeter of triangle ABC is

urgent pls answer​

Answer 1

Answer:

18 cm is the answer.

Explanation:

As per the dimensions give in the questions,

Now, we have to find out the perimeter of △ABC

Let △ABC∼△DEF

So, AB/DE=AC/DF=BC/EF

Consider, AB/DE=AC/DE

4/6=AC/12

By cross multiplication we get,

AC=(4×12)/6

AC=48/6

AC=8cm

Then, consider AB/DE=BC/EF

4/6=BC/9

BC=(4×9)/6

BC=36/6

BC=6cm

Therefore, the perimeter of △ABC=AB+BC+AC

=4+6+8

=18cm.

Answer 2

Answer:

d

Explanation:

ABC ~ DEF

AB=4cm, DE=6cm, EF=9cm and FD=12cm

AB/DE = BC/EF = AC/DF

4/6 = BC/9 = AC/12

BC = (4.9)/6 = 6cm

AC = (12.4)/6 = 8cm

Perimeter = AB+BC+AC

= 4+6+8

=18cm

I hope it will help u................