E and BC and the distance between E and BA we already say that, -we already said that the distance between point and a line is if you drop a perpendicular from a point to that line, which you can always do so lets draw a perpendicular right over here, this is one distance, and then this is the other distance this is, -this orange line right here is the distance between E and BC and this orange line is the distance between E and BA and what I want to prove is that these distances are equal well the first thing to realize, is that we have two right triangles over here, they both share th- they both have the same angle, they're not sharing it but angle ABE is congruent to angle CBE and we know that because DB bisects it so this angle is equal to that angle they're both right triangles so the actually have 2 angles in common, which actually means they actually have 3 angles in common and constrains what this other angle would be and they also have this side in common, -they have 3 angles are congruent to each other, they are not necessarily in common, but it does have this side in common, BE is the hypotenuse of both of these right triangles, and so, you can invoke using this angle, that angle and this side, this angle,that angle and this side you could say that these 2 triangles are going to be congruent to each other so we could say that triangle, and let me put some points over here, so let's see