Yes, the hypotenuses of these two triangles could lie along the same line if the two triangles are similar. To determine if the triangles are similar, we can compare the ratios of their corresponding sides.
For the first triangle with vertical side of 4 and horizontal side of 10, the ratio of the vertical side to the horizontal side is 4:10, which simplifies to 2:5.
For the second triangle with vertical side of 12 and horizontal side of 30, the ratio of the vertical side to the horizontal side is 12:30, which simplifies to 2:5.
Since the ratios are the same, the two triangles are similar and their hypotenuses could lie along the same line.
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 4 and a horizontal side of 10. The other triangle has a vertical side of 12 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
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