Question

If triangle ABC ~ triangle PQR, perimeter of a triangleABC= 32 perimeter of triangle PQR = 48 and PR =6 then find length of AC​

Answer 1

Answer:

$ac = 6 \: by \: cpct \: \: because \: the \: triangles \: are \: congruent$

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Answer 2

Step-by-step explanation:

Given

Perimeter of triangle ABC = 32cm

Perimeter of triangle PQR = 48cm

PR = 6cm

To find

Length of AC

Proof

According to the basic proportionality theorem

The perimeter of two similar triangles is proportional to the sides of both the triangles.

So,

Area of Triangle ABC/Area of triangle PQR = AB/PQ =

BC/QR = AC/PR

Therefore

Area of triangle ABC/Area of triangle POR = AC/PR

32/48 = AC/6

48AC = 192

AC = 192/48

AC = 4cm

Therefore, length of AC = 4cm

Hope it helps you!