Mathematics, 06.11.2019 22:31 burners

Which point is the incenter of △abc ?

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point
a right triangle abc with right angle at c and vertical base a c is made. a d is angle bisector of angle b a c. b d is angle bisector of angle a b c. c f is angle bisector of angle a c b. angle bisectors a d and b d and c f meet at an interior point d. g e is perpendicular bisector of side b c. perpendicular bisectors of all three sides meet at point e. point e is midpoint of side a b.

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Which point is the incenter of △abc ?

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