Question

the length of the sides of the triangle are 16cm , 23cm and 31 cm . if a perimeter of a similar triangle is 280cm . find the length of that triangle 's longest side​

Answer 1

Answer:

8 cm.

Step-by-step explanation:

Let △ABC and △DEF be two similar triangles of perimeters P

1

and P

2

respectively.

Also, let AB=12 cm, P

1

=30 cm and P

2

=20 cm.

Then,

DE

AB

=

EF

BC

=

DF

AC

=

P

2

P

1

[∵ Ration of corresponding sides of similar triangles is equal to the ratio of their perimeters]

⇒

DE

AB

=

P

2

P

1

⇒

DE

12

=

20

30

⇒ DE=

30

12×20

cm=8cm

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