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:
Answer & explanation
Correct answer: option 1
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