Question

In the figure, QR is parallel to ST. QR = a, QS = b, SP = c and ST = x. The correct relationship between x a, b and c is given as: (Give answer with full explanation)
a) x = a(b+c)/c
b) x = a(b+c)/b
c) x = ac/b+c
d) x = a(b-c)/b

Answer 1

Answer:

Step-by-step explanation:

Correct option is

A

2

9

​

cm

∵ST∥QR

By basic proportionality theorem,  

QS

PS

​

=  

RT

PT

​

 

3

PS

​

=  

2

3

​

 

PS=  

2

9

​

 cm