Given a triangle having lengths $4\sqrt3$, $12$, and $8\sqrt3$. Find the length of the bisector of the second largest angle.
I know the answer is 8 but what is the process that leads to that answer?
Finding the Length of a Bisector
1
$\begingroup$
geometry
1 Answers
1
- Using the cosine rule, or the converse of Pythagoras' theorem, what shape is the triangle?
- Identify the second largest angle.
- Use the angle bisector theorem to find the ratio in which the angle bisector divides the opposite side.
- Use the cosine rule or Pythagoras' theorem to find the length of the angle bisector.