Question

if ∆ ABC ~∆PQR , AB =4cm , pq = 8cm and perimeter of ∆ PQR is 36 , then perimeter of ∆ ABC is



​

Answer 1

Answer:

Since the ratio of the corresponding sides of similar triangles is same as the ratio of their perimeters.

∴   △ABC∼△PQR

⇒   PQAB=QRBC=PRAC=2436

⇒  PQAB=2436

⇒   10AB=2436

⇒   AB=2436×10cm=15cm

Step-by-step explanation:

Thanks for the question.

Answer 2

Given:

The ∆ ABC ~∆PQR , AB =4cm , pq = 8cm and perimeter of ∆ PQR is 36

To find:

The perimeter of ABC.

Step-by-step explanation:

ΔABC≅ΔPQR

$\frac{AB}{PQ} =\frac{BC}{QR} =\frac{AC}{PR}$$=\frac{4}{8}$

$\frac{AB}{PQ} =\frac{4}{8}$

$\frac{AB}{36}= \frac{4}{8}$

$AB=\frac{4*36}{8}$

$AB=18cm$

Answer:

The perimeter is 18cm.