CAIE IGCSE Mathematics Extended E6.2.2 Solve Problems in Two Dimensions Using Pythagoras Theorem and Questions

Practise Extended CAIE IGCSE Mathematics by identifying right triangles in diagrams and calculating missing distances.

Exam points

Solve two-dimensional problems using Pythagoras’ theorem in composite diagrams.
Identify right-angled triangles and calculate missing lengths or distances.
Combine Pythagoras’ theorem with geometric or coordinate information in context.

[Maximum number: 2]

NOT TO SCALE

The diagram shows triangle ABC on horizontal ground.
$A C=15 \mathrm{~m}, B C=8 \mathrm{~m}$ and $A B=20 \mathrm{~m}$ .
BP and CQ are vertical poles of different heights.
$B P=3 \mathrm{~m}$ and $C Q=4 \mathrm{~m}$ .
AQ and PQ are straight wires.

Calculate the length of AQ.

15.5 or 15.52 to 15.53
M1 for $15^2+4^2$ oe

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CAIE IGCSE Mathematics Extended E6.2.2 Solve Problems in Two Dimensions Using Pythagoras Theorem and Questions question 1