The lengths of segments PQ and PR are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. Find the length of the angle bisector of angle R.

Aldo Ashley 2022-10-22 Answered
The lengths of segments P Q and P R are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. Find the length of the angle bisector of angle R.

Through the Law of Sines I was able to find that the angle measure of R is approximately 81.787 and from the Law of Cosines I figublack out that the measure of side Q R is 7 inches.
I am unsure of what steps I should take to find the measure of the angle bisector. Any help will be greatly appreciated!
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Answers (1)

RamPatWeese2w
Answered 2022-10-23 Author has 15 answers
Say angle bisector cuts P Q at S and let P S = x then S Q = 8 x. By angle bisector theorem we have:
x 8 x = 5 7
and you get x. Then use the law of cosinus for triangle P R S
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