Question

in triangle abc pq is parallel to bc find ac​

Answer 1

Answer:

Considering the triangles ΔABC  and ΔAPQ

∠P=∠B  ....corresponding angles of  parallel lines PQ and BC.

∠Q=∠C....corresponding angles of  parallel lines PQ and BC.

∠A=∠A  

So, by AAA  similarity  

ΔABC  ∼  ΔAPQ

the lengths of the corresponding sides of two similar triangles are proportional.

⇒  

AP

AB

​  

=  

AQ

AC

​  

=  

PQ

BC

​  

 

⇒  

30

30+x

​  

=  

y

y+15

​  

=  

14

22

​  

 

On solving above we get  

x=17.14 and y=26.25