Abstract
Let Q(a) be the convex kite-shaped quadrilateral with vertices (0, 0), (1, 0), (0, 1), (a, a), where a > 1/2. We wish to dissect Q(a) into triangles of equal areas. What numbers of triangles are possible? Since Q(a) is symmetric about the line y = x, Q(a) admits such a dissection into any even number of triangles. In this article, we prove four results describing Q(a) that can be dissected into certain odd numbers of triangles. MSC2000: 52B45.
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