In ∆PQR, S is a point on the side QR such that PS is the bisector of QPR. If PQ = 12 cm, QS = 3 cm and QR = 7 cm, then what is the length of side PR?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 1 i.e. 16 cm
Given:
∆PQR, S is a point on the side QR and PS is the bisector of QPR
PQ = 12 cm, QS = 3 cm and QR = 7 cm
Concept used:
Angle bisector theorem is used which states that the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.
Calculations:
Let PR be x then according to angle bisector theorem we have
⇒ PQ/PR = QS/SR
⇒ 12/x = 3/4
⇒ x = 16 cm