Find the corners of a right-angled triangle if its height, drawn from the vertex of the right angle

Find the corners of a right-angled triangle if its height, drawn from the vertex of the right angle, makes an angle of 50 * degrees with the leg.

The height drawn from a straight line divides this angle into two angles, one of which is 50 ° by condition, which means that the second = 90-50 = 40 °.
Consider 2 triangles, into which the height divided the large triangle. Each is rectangular because the height is perpendicular to the hypotenuse. In one, the angle is 50 ° (the same angle that is between the height and the leg), which means the second angle = 180-90-50 = 40 °. Similarly, in the second triangle, the angle between the leg and the hypotenuse = 180-90-40 = 50 °.
Answer: 90 °, 50 °, 40 °.



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