Question

The perpendicular bisectors of triangle ABC meet at point P. If AB=6, BE=4, and BP=7, then AD=? BC=? and AP=? Also, is triangle ABC acute, right, or obtuse? Why?

Answer 1

There is a lot of unclear lettering in the setup and question. When you say BE=4 do you mean BC? And when you ask for AD, do you mean AC?

Answer 2

Here is my closest interpretation of what you've said. Next we draw in the perpendicular bisectors.

Answer 3

Notice that the lengths are divided in two, because the lines are bisectors.