In the given D PQR and D PST; PS=8, ST=7, QR=35 and QS=PT. Also, ∠ PST = ∠ PRQ. What is the value of PT? Options: A . &nbsp3 B . &nbsp4 C . &nbsp2 D . &nbsp5 E . &nbspCannot be determined

In the given DPQR and D PST; PS=8, ST=7, QR=35 and QS=PT. Also, ∠PST = ∠PR

Question

In the given DPQR and D PST; PS=8, ST=7, QR=35 and QS=PT. Also,

∠

PST =

∠

PRQ. What is the value of PT?

Answer: Option C
:
C
In the figure

∠

PSTand

∠

PRQ are similar (A,A,A).
If SQ = x = PT and TR = y =,

(\frac{x}{x + 8}) = \frac{7}{35}

; x = 2

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