Question

In triangle RST, TU bisects angle T. If U is a point on RS, RU = 6,

RT = 9, and ST = 12, find RS.

Answer 1

14.

Explanation:

1. RS=RU+US, - US is unknown yet;

2. the property of bisector is:

RU/US=RT/ST;

3. according to the property above:

US=RU*ST/RT; US=12*6/9=8;

4. RS=RU+US; ⇒ RS=6+8=14.