In a circle, chords PQ and TS are produced to meet at R. If RQ = 14.4 cm, PQ = 11.2 cm, and SR = 12.8 cm, then the length of chord TS is:

16 cm 14.2 cm 18 cm 12.4 cm

16 cm

chords PQ and TS are produced to meet at R So, RP × RQ = RT × RS ( 14.4 + 11.2 ) × 14.4 = RT × 12.8 25.6 × 14.4 = RT × 12.8 RT = 28.8 cm Now, TS = RT - RS = 28.8 - 12.8 = 16 cm