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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?

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znk

Answer:

Yes.

Step-by-step explanation:

The two triangles are similar because they have:

  • a common angle (90°)
  • corresponding sides with lengths in a 3:1 ratio

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.

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