Hello, I'm having some problems doing some proofs with deductive geometry. Hope someone can help me out.

1. First one is to prove that the angle bisectors of the vertices of a triangle will all intersect at the same point.

I think I have to draw in the first 2 angle bisectors (AF and EB), then for the third one, I will have to draw a line(DC) through the point where the first 2 bisectors intersect. Then I have to prove that angle ACD = DCB to prove that it intersects at the middle.

2. The second one seems similar to the first one. Instead of angle bisectors, this time its the altitudes. I have to prove that the 3 altitudes of a triangle will intersect at the same point.

Similar to the first one, I think I have to put in the first 2 altitudes and then for the third one, I have to prove that it is 90 degrees from the base to confirm that it intersects at the same point as the other two.