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

Yeah
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Answer 1

ST∥QR

By basic proportionality theorem,

QS

PS

=

RT

PT

3

PS

=

2

3

PS=

2

9

cm