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Rufina [12.5K]
3 years ago
6

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?

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

Yes.

Step-by-step explanation:

The two triangles are <em>similar</em> 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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Step-by-step explanation:

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