One triangle on a graph has a vertical side of 5 and a horizontal side of 11. another triangle on a graph has a vertical side of 15 and a horizontal side of 33. could the hypotenuses of these two triangles lie along the same line?

Yes.

Step-by-step explanation:

The two triangles are similar because they have:

All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.

Then the hypotenuses of each triangle will lie along the same line.

step-by-step explanation: