Question

Q. In triangle PQR , if PS is the internal bisector of angle P meeting QR at S and PQ = 15 cm, QS = (3 + x)cm, SR = (x - 3)cm and PR = 7 cm , then find the value of x.
a) 8.25 cm (b) 3 cm (c) 3.20 cm (d) 9 cm​

Answer 1

Answer:

a) 8.25 cm

Step-by-step explanation:

According to the angular bisector theorem,

PQ / QS = PR / SR

15 / 3+x = 7 / x-3

15x - 45 = 21 + 7x

8x = 66

x = 8.25