Question

if triangle ABC D and e f are similar and a b is equal to 4 cm the is equal to 6 CM if is equals to 9 cm and FD is equal to 12 cm the perimeter of a triangle ABC is​

Answer 1

Answer:

18cm

Step-by-step 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.