Question
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
$$\eqalign{
& \frac{{PR}}{{PT}} = \frac{{PQ}}{{PS}} \cr
& \frac{{PR}}{5} = \frac{8}{3} \cr
& PR = \frac{{40}}{3} \cr
& \therefore SR = PR - PS \cr
& SR = \frac{{40}}{3} - 3 \cr
& SR = \frac{{40 - 9}}{3} \cr
& SR = \frac{{31}}{3}\,{\text{cm}} \cr} $$
Was this answer helpful ?
According to question,
Given :
PT = 5 cm
PS = 3 cm
TQ = 3 cm
SR = ?
ΔPQR ∼ ΔPST
$$\eqalign{
& \frac{{PR}}{{PT}} = \frac{{PQ}}{{PS}} \cr
& \frac{{PR}}{5} = \frac{8}{3} \cr
& PR = \frac{{40}}{3} \cr
& \therefore SR = PR - PS \cr
& SR = \frac{{40}}{3} - 3 \cr
& SR = \frac{{40 - 9}}{3} \cr
& SR = \frac{{31}}{3}\,{\text{cm}} \cr} $$
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution