## Exam-Style Question on Construction Loci## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 225. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

Construct a quadrilateral ABCD in which:

- AB = 8cm
- BC = 9cm
- CD = 10cm
- DA = 11cm
- Angle DAB = 100
^{o}

Use a ruler and compasses to find the point P that is same distance from BC and CD and is 7cm from A.

Find the length of PD in centimetres correct to the nearest millimetre.

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