Question

To prove that the triangle are similar by the sss similarity theorem it needs to be shown that

Answer 1

For this case, we have that by definition, the triangle similarity theorem related to the angles, establishes that:

• For two triangles to be similar, the angles of one of them must be congruent to the angles of the other triangle.

On the other hand, we have:

• For a pair of triangles to be similar, it is sufficient to have a congruent angle between the proportional sides.

In addition, we have the following side theorem (SSS):

• Two triangles that have the three proportional sides are similar to each other.

ANswer:

Two triangles that have the three proportional sides are similar to each other.