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Edexcel IGCSE Math A Foundation 4.8.A Pythagoras theorem in 2D

Edexcel IGCSE Math A Foundation 4.8.A Pythagoras theorem in 2D
Edexcel IGCSE Math A syllabusMath A 4MA1First assessment 2018

Practise Pythagoras questions by identifying the hypotenuse, forming a squared-length equation and using the result in the wider diagram.

How this is tested

  • Use Pythagoras' theorem to find a missing side in a right-angled triangle.
  • Identify the hypotenuse before deciding whether to add or subtract squared lengths.
  • Use the calculated length in perimeter, area or linked-triangle problems.

Question 26

The diagram shows a roof support.

Figure for Question 26 — Edexcel IGCSE Math a Foundation

The roof support is made from four lengths of wood, A B, A C, B C and MC

AC=BC=9 mAB=12 mA C=B C=9 \mathrm{~m} \quad A B=12 \mathrm{~m}

angle AMC=90∘A M C=90^{\circ}
Lewis is going to buy lengths of wood to make the roof support.
The wood costs 21.50 euros per metre.
Each length of wood he buys has to be a whole number of metres.
Work out the total cost of the wood Lewis needs to buy.
Show your working clearly.

Diagram NOT accurately drawn
euros