pls solve it. it's urgent
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In ΔBCR, P is the mid-point of BC and PS is parallel to BR.
⇒ S is the mid-point of CR
⇒CS = SR ---------------- (1)
In ΔAPS, Q is the mid-point of AP and QR is parallel to PS.
⇒ R is the mid-point of AS.
⇒ AR = RS ---------------- (2)
From equations (1) and (2), we get
AR = RS = SC
AC = AR + RS + SC
AC = AR + AR + AR
AC = 3AR
⇒ AR= 1/3 AC
hope it helps