Thread: Difficult Geometry Question - Equal Intervals

1. Difficult Geometry Question - Equal Intervals

Hi, can you guys help me out with this hard geometry question:

Thanks.

2. $\tan \angle BAR = \dfrac{RB}{AB} = \dfrac{RQ''+Q''P''+P''B}{AP'+P'Q'+Q'B}.$

3. Originally Posted by Opalg
$\tan \angle BAR = \dfrac{RB}{AB} = \dfrac{RQ"+Q"P"+P"B}{AP'+P'Q'+Q'B}.$

Hi,

Sorry I don't fully understand your solution to the question.

How does RQ'' represent sin a, Q''P'' represent sin 2a, etc. ?

Thanks.

4. Originally Posted by eskimogenius
Hi,

Sorry I don't fully understand your solution to the question.

How does RQ'' represent sin a, Q''P'' represent sin 2a, etc. ?

Thanks.
You are told that AP, PQ and AR all have the same length, call it $a$. Then $RQ'' = a\sin3\alpha$, and similarly for the other lengths.