Let (X, d) be the space of real numbers with the usual pseudometric. For each positive integer n, let A₁ = (1/n, 1]. Find cl(U{A}), and find U{cl(An)}.

Please write in digital format, solve step by step thanks! A classical theorem of geometry tells us that in any triangle ABC the bisectors meet at the center of a circle that passes through the three vertices. Check this theorem for the triangle with vertices A = (4, 0), B = (2, −2) and C = (−2, −2); giving the equation of the three bisectors, finding the common point and giving the equation of the circumscribed circumference.

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If the three vertices of a triangle have coordinates(0,0), (0,3), and (5,0)how many square units are in the area of the triangle? Enter your answer as a common decimal.