- #1

- 18

- 3

- Homework Statement:
- ##ABC## is a triangle such that ##\angle ABC = 37^{\circ}15'##, ##\angle ACB = 59^{\circ}40'##, ##BC = 8## cm; the perpendicular bisector of ##BC## cuts ##BA##, ##CA## produced at ##P, \ Q##. Find the length of ##PQ##.

- Relevant Equations:
- ##\tan(\alpha) = \frac{opposite \ side}{adjacent \ side}##

Here is my attempt to draw a diagram for this problem:

I'm confused about the "the perpendicular bisector of ##BC## cuts ##BA##, ##CA## produced at ##P, \ Q##" part of the problem.

How does perpendicular bisector of ##BC## cut the side ##CA##?

I'm confused about the "the perpendicular bisector of ##BC## cuts ##BA##, ##CA## produced at ##P, \ Q##" part of the problem.

How does perpendicular bisector of ##BC## cut the side ##CA##?