If a line drawn from one point of a triangle divides opposite side in ratio $1:2$ then in what ratio angle is divided by line?
Ratio of angle divided by a line drawn in triangle?
3
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geometry
triangles
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3In general, the information about the division ratio of the opposite side, by itself, does not give enough information to determine the division ratio of the angle. – 2011-08-03
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1A simple illustration of the preceding comment: consider the median from the right angle of a right-angle triangle. It divides the hypotenuse in 1:1 ratio, but it divides the angle in the same ratio as the ratio of the two non-right angles, which can be any positive number. – 2011-08-03
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0@Gerry: in fact generally it is not a ratio of the angles but a slightly more involved formula with sin() of the angles. – 2011-08-03