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Pythagorean theorem test

This 8th-grade test provides practice in applying the Pythagorean theorem, distance formula, and converse of the theorem through problem-solving questions. Students will analyze right triangles, identify potential hypotenuses, and determine points equidistant from the origin.

By Edform · Mathematics · Grade 8 · Published Oct 15, 2026 · New

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Questions

  1. A right triangle has legs of lengths 6 units and 8 units. What is the length of the hypotenuse?
  2. Which set of side lengths could form a right triangle?
  3. Select all points that are exactly 5 units away from the origin (0,0).
  4. The Pythagorean theorem can be used to find the length of any side in any triangle.
  5. If a triangle has side lengths 9, 12, and 15, is it a right triangle?
  6. Find the distance between the points (1, 2) and (7, 5).
  7. What is the name of the longest side in a right triangle?
  8. Which statement correctly describes the converse of the Pythagorean theorem?
  9. The distance formula is derived from the Pythagorean theorem.
  10. A ladder is leaning against a wall. The base is 9 feet from the wall and the ladder reaches 12 feet up the wall. How long is the ladder?

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