Question

How to write a two column proof for number 38

Answer 1

Answer:

1.- We are given that:

$\angle B\cong\angle ACB$

therefore:

$AB\cong AC.$

2.- Recall that a condition that must be satisfied for three lengths to be the sides of a triangle is that the sum of any pair of lengths is greater than the other length, therefore:

$AD+AC>CD.$

3.- Substituting AC for AB, using the congruence statement in point number 2, we get:

$AD+AB>CD.$