Question

Острые углы прямоугольного треугольника равны 24градуса, и 66 градуса. Найдите угол, между биссектрисой и медианой проведен. из вершины прямого угла. Ответ в градусах.

Answer 1

Finding the Angle Between the Bisector and Median of a Right Triangle

To find the angle between the bisector and median of a right triangle, we need to use the given information about the acute angles of the triangle. Let's denote the acute angles as A and B, where A = 24 degrees and B = 66 degrees.

In a right triangle, the sum of the acute angles is always 90 degrees. Therefore, we can find the third angle, C, using the equation:

C = 90 - (A + B)

Substituting the given values, we have:

C = 90 - (24 + 66) = 90 - 90 = 0 degrees

Since the angle C is 0 degrees, it means that the triangle is degenerate, which implies that the bisector and median from the right angle vertex coincide. Therefore, the angle between the bisector and median is also 0 degrees.

So, the answer to the question is 0 degrees.

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