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Paper 2 & 3

Pythagoras

Higher
Practice this
Pythagorean theorem diagram

Square the two shorter sides then add.

Key Facts

  • Only works in right-angled triangles.
  • Check the hypotenuse is the longest side.

Key Equations

a^2 + b^2 = c^2

Topics Covered

Right-Angled Triangles

What you need to know

  • a^2 + b^2 = c^2
  • c is the hypotenuse.

Exam Tips

  • Square root at the end.

3D Pythagoras

What you need to know

  • Use two stages for 3D lengths.
  • Draw the right triangle first.

Exam Tips

  • Label the right angle clearly.

Key Terms

Hypotenuse

Longest side opposite the right angle.

Perpendicular

Meeting at 90 degrees.

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Common Exam Questions

Find the hypotenuse when the other sides are 8 and 15.

2 markseasyPaper 2

Model Answer

17

What examiners want to see

  • Use a^2 + b^2 = c^2.

Find the length of a diagonal in a 6 by 8 rectangle.

2 markseasyPaper 3

Model Answer

10

What examiners want to see

  • Apply Pythagoras to the rectangle.

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