Question

In the figure, PS=x, SQ=x-2,PT=x+2,TR=x-1, find the value of x

Answer 1

Answer:

x=4,y=8

Step-by-step explanation:

If ST∣∣SR, then ΔPST∼ΔPQR.

⟹

PR

PT

=

PQ

PS

⟹

x+y

x

=

9

3

=

3

1

⟹3x=x+y

⟹2x=y

Two pairs satisfying the above are:

x=3,y=6

x=4,y=8