Test triangle existence — Independent Practice — page 1
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Test triangle existence — Independent Practice — page 2
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Worksheet directions

Grade 7 • Independent Practice • Work on your own. Show your calculations or reasoning where needed.

Sample questions

  1. Can a triangle have side lengths 6, 7, and 5? Explain using the triangle inequality.
  2. Can a triangle have side lengths 3, 8, and 5? Explain using the triangle inequality.
  3. Can a triangle have side lengths 5, 9, and 5? Explain using the triangle inequality.
  4. Can a triangle have side lengths 7, 4, and 5? Explain using the triangle inequality.
  5. Can a triangle have side lengths 3, 9, and 7? Explain using the triangle inequality.
  6. Can a triangle have side lengths 5, 4, and 7? Explain using the triangle inequality.

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 7.G.A.2. Review the learning goals below to check the fit for your class.

  • 7.G.A.2 — Draw triangles from given conditions

Bring it into your lesson

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