In ΔPQR, S and T are point on sides PR and PQ respectively such that ∠PQR = ∠PST, If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is

Answer: Option C

According to question,

Given :
PT = 5 cm
PS = 3 cm
TQ = 3 cm
SR = ?
ΔPQR ∼ ΔPST

$$\begin{array}{rl}& \frac{PR}{PT}=\frac{PQ}{PS}\\ & \frac{PR}{5}=\frac{8}{3}\\ & PR=\frac{40}{3}\\ & \therefore SR=PR-PS\\ & SR=\frac{40}{3}-3\\ & SR=\frac{40-9}{3}\\ & SR=\frac{31}{3}\text{cm}\end{array}$$