CEMC Cayley, 2005

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, $AB = 13$ cm, $DC = 20$ cm, and $AD = 5$ cm. The length of $AC$ , to the nearest tenth of a centimetre, is

(A) $24.2$ (B) $20.6$ (C) $25.2$ (D) $23.4$ (E) $24.9$

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.