Respuesta :
Okay, here we have this:
Considering the provided information, and side lengths, we are going to idenitfy which option could be the side lengths of HJK, so we obtain the following:
So let's remember that two triangles are similar when their corresponding sides are in proportion, so let's analyze the options one by one:
We will see if the three corresponding sides are in proportion, that is, the ratios must be equal:
• 2, 6, 7:
4/2=6/6=8/7
Since corresponding sides do not have the same ratio, then this option is incorrect.
• 2, 5, 7:
4/2=6/5=8/7
Since corresponding sides do not have the same ratio, then this option is incorrect.
• 8, 12, 16:
4/8=6/12=8/16
Since corresponding sides have the same ratio, then this option is correct.
• 5, 7, 9:
4/5=6/7=8/9
Since corresponding sides do not have the same ratio, then this option is incorrect.
