Waste less time on Facebook — follow Brilliant.

Heard of cross-ratio?

In \(\Delta ABC\), \(D\), \(E\), \(F\) are such that \(B - D - C\), \(C - E - A\), \(A - F - B\). \(\overline{AD}\), \(\overline{BE}\), \(\overline{CF}\) are concurrent at \(P\) which is in the interior of \(\Delta ABC\). Ray \(FE\) intersects ray \(BC\) at \(N\). \(\overline{AD}\) intersects \(\overline{FE}\) at \(M\). Given \(FM = 3\), \(ME = 2\) find \(NE\).

Can anyone give me a trigonometric solution for this?

This is part of the set Trigonometry.

Note by Omkar Kulkarni
2 years, 9 months ago

No vote yet
1 vote


Sort by:

Top Newest


Neeraj Meena - 2 years, 9 months ago

Log in to reply

Can you tell me how you got the solution?

Omkar Kulkarni - 2 years, 8 months ago

Log in to reply


Problem Loading...

Note Loading...

Set Loading...