Question

If triangles ABC and DEF are similar and AB=4cm, DE=6cm, EF=9cm and FD=12cm, the perimeter of triangle is:
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Answer 1

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MATHS

If △ABC∼△DEF,AB=4 cm,DE=6 cm,EF=9 cm and FD=12 cm, then find the perimeter of △ABC.

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ANSWER

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.