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Pints A,B,C lie on a circle with radius 1. What is the area [#permalink]
24 Jul 2007, 12:01
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Pints A,B,C lie on a circle with radius 1. What is the area of triangle ABC?
angle CAB = 30 degrees
I understand that both statements together give us that it is a 30-60-90 right triangle, and I know the ratios of the sides of a 30-60-90; but I couldn't figure out how to derive the area. If a 30-60-90 triangle is incribed in a circle, does that automatically mean one of the sides of the triangle is the diameter of the circle? is this true for any 90 degree triangle inscribed in a circle?