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Paper 2 & 3
Pythagoras
HigherSquare 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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