Delta-K,  Feature Articles,  Volume 15, Issue 3

Maximization of Areas of Circle-Inscribed Triangles by an Oscillating Algebraic Sequence

Journal of the Mathematics Council of the Alberta Teachers’ Association

Volume 15 Issue 3, February 1976

10 – 12

Maximization of Areas of Circle-Inscribed Triangles by an Oscillating Algebraic Sequence

William J. Bruce

If a scalene triangle and an isosceles triangle are inscribed in a circle on the same side of a common chord as base, the altitude of the isosceles triangle is greater than the altitude of the scalene triangle and, consequently, the area of the isosceles triangle is greater than the area of the scalene triangle.