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Problem 25 (2003 AMC 8)

AMC 8Hard

From module Geometry Basics

Problem

In the figure, the area of square WXYZWXYZ is 25 cm225\text{ cm}^2. The four smaller squares have sides 1 cm1\text{ cm} long, either parallel to or coinciding with the sides of the large square. In ΔABC\Delta ABC, AB=ACAB=AC and when ΔABC\Delta ABC is folded over side BCBC, point AA coincides with OO, the center of square WXYZWXYZ. What is the area of ΔABC\Delta ABC, in square centimeters? [See figure in original PDF]

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