Question

If QS represents an angle bisector, solve for x

Answer 1

In a triangle, the bisector from an interior angle divides the opposite side into two segments whose ratio of lengths is equal to the ratio of the lengths of the adjacent sides.

PS/SR=QP/QR

PS/5 = 31.2/26

26*PS=5*31.2

26*PS=156

PS = 156/26=6

x=PR=PS+SR = 5+6=11

Explanation: