Point P is chosen inside square ABCD.

What is the probability that ABP has a greater area than each of triangles BCP and CDP?

Really need help please. An explanation would be appreciated but not required.

Question

Point P is chosen inside square ABCD.

What is the probability that ABP has a greater area than each of triangles BCP and CDP?

Really need help please. An explanation would be appreciated but not required.

anonymous · Answer

Picture?

anonymous · Answer

Sorry I no picture was provided for this problem.

anonymous · Answer

I guess you can make one from the given info:
|dw:1408549896565:dw|
(Note that this is just an example placement for the point $P$.)

You want to find the probability that $A_1$ is greater than $A_2$, and that $A_1$ is greater than $A_3$. Or maybe I'm misinterpreting the "... each of triangles BCP and CDP" part... It could be you need to find the probability that $A_1>A_2+A_3$.