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In the construction of the incenter, why is step 5 necessary for drawing the inscribed circle?

User Wsgg
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The three angle bisectors of any triangle always pass through its incenter. ... We bisect the two angles and then draw a circle that just touches the triangles's sides. ... Geometry construction using a compass and straightedge ... The above animation is available as a printable step-by-step instruction sheet, which can be used ...
User Birwin
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