CAIE IGCSE Mathematics Core C6.2.2 Solve Problems in Two Dimensions Using Pythagoras Theorem and Questions

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

Exam points

Use Pythagoras’ theorem to solve two-dimensional distance problems.
Identify right-angled triangles in composite diagrams and calculate missing lengths.
Combine Pythagoras’ theorem with coordinate or geometric information in context.

[Maximum number: 4]

The diagram shows two right-angled triangles, ABC and ACD.
Work out the value of x.

60 cao
M3 for $39^2+52^2-25^2=x^2$ oe
or M2 for $39^2+52^2=25^2+x^2$ oe
or M1 for a correct Pythagoras expression

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