In PQR, the bisector of R meets side PQ at S, PR = 10cm, RQ = 14 cm and PQ = 12 cm. What is the length of SQ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 7 cm.
By using the angle bisector theorem we get,
PR/PQ = PS/SQ
10/14 = (x - 12)/x
10x = 14x - 168
24x = 168
x = 7.