Question

In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of SR?

Answer 1

Answer:

Given: is the bisector of such that: .

To do: To find the length of .

Solution:

As known the angle bisector of an angle in a triangle divides the opposite side into two segments which are in proportion to the other two sides.

QS\SR = PQ/SR

3/SR = 6/8

SR = 8×3/6

SR = 4 cm

The angle bisector of an angle in a triangle divides the opposite side into two segments which are in proportion to the other two sides.

Hence, the length of SR = 4 cm

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