Question

21. ∆ABC and ∆PQR are similar. The lengths of the sides of ∆ABC are 40m, 50m, and 24m. The length of the longest side of ∆PQR is 275m. What is the perimeter of ∆PQR?​

Answer 1

Answer:

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

∴   △ABC∼△PQR

⇒    

PQ

AB

​

=  

QR

BC

​

=  

PR

AC

​

=  

24

36

​

 

⇒    

PQ

AB

​

=  

24

36

​

 

⇒    

10

AB

​

=  

24

36

​

 

⇒   AB=  

24

36×10

​

cm=15cm