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Mathematics 8 Online
OpenStudy (anonymous):

Point P is chosen inside square ABCD. What is the probability that triangle ABP has a greater area than each of triangles BCP, CDP, and DAP?

OpenStudy (anonymous):

Help ASAP!! Thanks

OpenStudy (sirm3d):

|dw:1419816306651:dw|

OpenStudy (sirm3d):

|dw:1419816453734:dw| altitudes are drawn from P to each of the sides of the square. P is farthest from AB if it lies inside triangle CD

OpenStudy (anonymous):

So what does that tell us about the probability?

jimthompson5910 (jim_thompson5910):

sirm3d is saying that if P lies in this shaded triangle |dw:1419817296527:dw| then ABP will have an area larger than the other 3 triangles

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