Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21.

Could the hypotenuse of these two triangles lie along the same line?

1 answer

Yes, the hypotenuse of these two triangles could lie along the same line. This is because the ratio of the vertical side to the horizontal side for both triangles is the same. In both cases, the ratio is 3:7. Therefore, the angles in both triangles will be the same, and the hypotenuse will lie along the same line.