Question

in triangle pqr if pq=6cm,pr=8 cm ,qs =3cm,and PS is the bisector of angle qpr .what is the length of sr​

Answer 1

Answer:

Length SR = 4 cm

Step-by-step explanation:

Given - In ∆ PQR,

PS bisects / QPR

PQ = 6 cm , PR = 8 cm & QS = 3 cm

To find - Length SR = ?

Solution -

In ∆ PQR,

PS bisects angle QPR.

Therefore, By property of angle bisector of triangle.

PQ/PR = QS/SR

6/8 = 3/SR

Therefore,

SR = 8×3 / 6

= 24/6

= 4

Therefore,

Length SR = 4 cm