Multi-step Pythagoras' theory

Multi-step Pythagoras questions require students to find an intermediate length first (such as a hidden height or diagonal), then use that result to calculate a second value (such as area, perimeter, or comparison).

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • Pythagoras' theorem (a² + b² = c²)
  • hypotenuse
  • right angle
  • perpendicular (height or diagonal)
  • intermediate step
  • perimeter
  • area

Task goals

  • Apply Pythagoras' theorem to find an unknown intermediate length
  • Use the calculated intermediate value in a second step
  • Show two or more equations clearly
  • Distinguish between exact answers and rounded decimal answers
  • Solve multi-step problems involving rectangles, squares, triangles, and ladders
  • Recognize when finding a hidden dimension is the first step toward the real target

Key skills

  • Multi
  • Step
  • Pythagoras
  • Theory

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included
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For teachers

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