Maths Olympiad Prep

Library / CEMC Gauss (Grade 8) /21 of 525

CEMC Gauss (Grade 8), 2009

Geometry Difficulty 1.0 Junior Find the answer Canada

The perimeter of △ABC\triangle ABC is 32. If ∠ABC=∠ACB\angle ABC = \angle ACB and BC=12BC = 12, the length of ABAB is

(A) 2020 (B) 1212 (C) 1010 (D) 88 (E) 1616

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.