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Cartesian coordinates

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Hey do anyone know why I=(a*x_a+b*x_b+c*x_c,a*y_a+b*y_b+c*y_c) is true?

84.144.41.189 (talk) 09:11, 4 August 2015 (UTC)[reply]

I've put in an explanation. The Cartesian coordinates of the incenter are a weighted average of those of the vertices, where the weights are the barycentric coordinates of the incenter, as explained in the section on barycentric coordinates. Loraof (talk) 16:56, 6 August 2015 (UTC)[reply]
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Angle bisector diagram

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Where is a diagram of the circle/Triangle for your first claim that the Angle Bisectors meet in a point ? — Preceding unsigned comment added by 76.178.133.207 (talk) 10:38, 27 March 2020 (UTC)[reply]

Area

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A = rs

where s is semi perimeter, A is the area and r is inradius.

Shubhrajit Sadhukhan (talk) 14:30, 23 July 2020 (UTC)[reply]

Vertices

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Hi, triangle picture has vertices PQR and intersections P', Q' and R', while text is talking about A, B C and E, F, G. Even picture caption is talking about A, B, C. — Preceding unsigned comment added by 82.132.23.146 (talk) 11:08, 15 October 2021 (UTC)[reply]