Question

if ∆ABC=∆PQR and AC = 13.5 cm then the length of pr is​

Answer 1

Answer:

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Step-by-step explanation:

We have

(  

AC

AQ

​

)=  

9

3

​

=  

3

1

​

 

(  

AB

AP

​

)=  

10.5

3.5

​

=  

3

1

​

 

In ΔAPQ & ΔABC

(  

AC

AQ

​

)=(  

AB

AP

​

)

& ∠PAQ=∠BAC

Thus ΔAPQ∼ΔABC by SAS criterion.

Hence (  

AC

AQ

​

)=(  

BC

PQ

​

) (by cpst)

⇒  

3

1

​

=(  

BC

4.5

​

)

⇒BC=13.5cm.

Answer 2

Answer:

13.5 cm

Explanation

since both the triangles are congruent hence

AC = PR

So, PR will also be equal to AC

Hence, PR is 13.5 cm

Hope it helped :)