Question
The angles of a triangle are in parallel series, the
ratio of the degrees of the minimum angle and the radians of the maximum angle is 60 :π , then how many degrees are those angles?Solution
Given: (minimum angle)/(maximum angle ) = 60/π = 60/180 = 1/3 ∴ The minimum angle is x then maximum angle will be 3x… Let the three angle of the triangle is a, b, c in parallel series….then Middle angle b = (a+c)/2 b = (x+3x)/2 = 2x the sum of three angles of a triangle = 180° => x + 2x +3x = 180° => 6x =180° => x = 30° Then – Angle of triangle = 30° ,60° ,90°
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