let PQ= a QR = b ans RS = c and the question says that PQ=1/2 (QS) therefore a= 1/2 (b+c) QR = 3 (RS) b = 3(c) and PS = a+b+c=24 , 2a=b+c therefore a=8 , 2a=b+c 16 =b+c 16=4c c=4
Therefore the answer is C
Hope this method helps.
Therefore the answer is C
Hope this method helps.










