Check if the corresponding sides of these triangles are proportional.
Are the triangles similar? Yes. Explanation: SSS Similarity Theorem
Practice makes perfect
Since we are given all sides lengths of two triangles, we will check if the corresponding sides of these triangles are proportional to determine if they are similar.
Let's evaluate the ratios between the corresponding sides. We will start with the longest sides.
12/16= 3/4= 0.75
Now, we will evaluate the ratio between the medium-length sides.
9/12= 3/4= 0.75
Finally, let's evaluate the ratio between the shortest sides.
6/8= 3/4= 0.75
As we can see, the ratio between corresponding sides is the same for each pair. This means that the sides in these two triangles are proportional. Therefore, by the Side-Side-Side Similarity Theorem, these triangles are similar.
