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Topic: Pythagoras' Theorem (Foundation - Unit 3)

Specification References: G2.1

G2.1 Use Pythagoras’ theorem.


Candidates should be able to:

  • understand, recall and use Pythagoras' theorem

Notes

Questions will be restricted to 2D at Foundation tier.

Questions may be set in context, for example, a ladder against a wall, but questions will always include a diagram of a right angled triangle with two sides marked and the third side to be found.

Quoting the formula will not gain credit. It must be used with appropriate numbers,
e.g. x2 = 72 + 82, x2 = 122 - 92 or x2 + 92 = 122

Examples

  1. Given the distance of the ladder from the wall and the length of the ladder decide whether the ladder will go into a window, given that a window is at height 5 metres to 6 metres up a wall.


view more examples

  1. Use Pythagoras’ theorem to find the height of a triangle and then use result to find the perimeter or area of the triangle.

  2. Work out the amount of fencing needed to cut off a given triangular area from the corner of a field.