Loci and Construction

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Hard

$XYZ\,$ is a triangle.

A diagram of triangle XYZ. Vertex X is at the bottom left, vertex Y is at the bottom right, and vertex Z is at the top. The side XY is labeled 12 cm, side YZ is labeled 10 cm, and side XZ is labeled 8 cm.

$X Y = 12$ cm
$Y Z = 10$ cm
$X Z = 8$ cm

Use ruler and compasses to construct an accurate drawing of triangle $X Y Z$ .

You must show all your construction lines.

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Loci and Construction Questions

Practise AQA GCSE Maths Loci and Construction with exam-style questions for Foundation and Higher tier. 100 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.