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?

Normally, I'd be able to figure this out for myself. But they kind of threw a curve ball at me so anyone help would be hugely appreciated. Diagram is in the comments!

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?

Normally, I'd be able to figure this out for myself. But they kind of threw a curve ball at me so anyone help would be hugely appreciated. Diagram is in the comments!

anonymous · Answer

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anonymous · Answer

you're given AB=6 and D is the midpoint so AD = ...
you're given BE=4 and E is the midpoint of BC so BC = ....
P is called the circumcenter of the triangle so the distance to all the vertices are equal....