drcarver
10.12.2019 •
Mathematics
what step is needed when constructing a circle inscribed in a triangle?
construct the angle bisectors of each angle in the triangle.
construct the perpendicular bisectors of each side of the triangle.
construct the midpoints of each side of the triangle.
construct the altitude of each angle in the triangle.
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Ответ:
Points on angle bisectors are equidistant from sides of a triangle. Since angle bisectors of a triangle meet in a point, that point is equidistant from all three sides of a triangle. Therefore, it is the center of a circle inscribed in a triangle.
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