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Quandaries & Queries
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 Topic: acute triangle
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 Determine the probability that the triangle is acute. 2007-04-10 From Greg:Points A1, A2, . . ., AN are equally spaced around the circumference of a circle and N >=3. Three of these points are selected at random and a triangle is formed using these points as its vertices. If N = 2k for some positive integer k >= 2, determine the probability that the triangle is acute.Answered by Penny Nom. Can the triangle be called both an acute triangle and an equilateral triangle? 2007-03-10 From Jane:If all sides of a triangle are the same length and all angles are 60 degrees, can the triangle be called both an acute triangle and an equilateral triangle?Answered by Walter Whiteley. Third side of Acute Triangle 2001-11-09 From Don:I gave this problem to my children, 9th and 12th grade and they are not(me too!) sure of the answer. I am trying to determine the length of the third side of an acute triangle. I know two of the lengths but I do not know the angles. Is there a proper formula to use to find the length of the third side? Thank you.Answered by Chris Fisher and Penny Nom.

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