Pythagoras' theorem in context
I can use and apply Pythagoras' theorem to solve problems in a range of contexts.
Pythagoras' theorem in context
I can use and apply Pythagoras' theorem to solve problems in a range of contexts.
Lesson details
Key learning points
- Within context, it can be difficult to initially identify whether Pythagoras' theorem can be used.
- Pythagoras' theorem may be used if a right-angled triangle can be drawn, even if drawn within a different shape.
- Pythagoras' theorem can be used to check for properties of other shapes involving right-angles.
Common misconception
I need to be given a triangle in order to use Pythagoras' theorem.
You do not need to be given a triangle. It is an important skill to be able to sketch and label a triangle for yourself from given information, or go straight into an algebraic stage of calculation if aware that lengths given are perpendicular.
Keywords
Perpendicular height - The perpendicular height is the perpendicular distance from the base to the opposite vertex.
Pythagoras’ theorem - Pythagoras’ theorem shows that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of its longest side (the hypotenuse).
Hypotenuse - A hypotenuse is the side of the right-angle triangle which is opposite the right-angle.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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