Similar triangles may or may not have equal side lengths
Triangles ABC and DEF are similar by SSS theorem
<h3>How to determine the similarity statement</h3>The coordinates of the two triangles are:
A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)
Calculate the lengths of both triangles using the following distance formula
For triangle ABC, we have:
For triangle DEF, we have:
Divide corresponding sides of the triangles to calculate the scale factor k
This gives
Evaluate the quotients
Since the quotients are equal, then the triangles are similar
Hence, triangles ABC and DEF are similar by SSS theorem
Read more about similar triangles at: