MathDB
2019 Geometry # 9

Source:

September 10, 2023
geometry2019

Problem Statement

Consider triangle △ABC\vartriangle ABC with circumradius R=10R = 10, inradius r=2r = 2 and semi-perimeter S=18S = 18. Let II be the incenter, and we extend AIAI, BIBI and CICI to intersect the circumcircle at D,ED, E and FF respectively. Compute the area of △DEF\vartriangle DEF.
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