Prove that Given triangle ABC with apex C, we cannot construct another triangle ABD with D lying in the interior of ABC
Is this proven the same way as if D lies on the same side of AB?
I have it started as: Given Triangle ABC we want to show that no other triangle can be formed. With some side length AB. Proof by contradiction, so we assume there is a point D not = to C inside of the triangle. Forming the triangle ABD with DB=CB and DA=Ca. Assume that D lies opposite of B and inside AC. So we draw DC forming the isosceles triangle BCD.
That is the point i have gotten to, and I am unsure if it correct or where exactly to go from here.