Question

The perimeters of two similar triangles are
30 cm and 24 cm. If one side of the first
triangle is 12 cm, determine the corresponding
side of the second triangle.


Plzzz answer this question....​

Answer 1

Step-by-step explanation:

Let △ABC and △DEF be two similar triangles of perimeters P1 and P2 respectively.

 Also, let AB=12 cm, P1=30 cm and P2=20 cm.

 

Then,

 DEAB=EFBC=DFAC=P2P1  [∵ Ration of corresponding sides of similar triangles is equal to the ratio of their perimeters]

⇒  DEAB=P2P1

⇒   DE12=2030

⇒  DE=3012×20cm=8cm

Hence, the corresponding side of the second triangle is 8 cm