See complete Problem 52
Triangle, angles, incircle. Level: High School, SAT Prep, College geometry
Post your solutions or ideas in the comments.
Monday, May 19, 2008
Elearn Geometry Problem 52
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See complete Problem 52
Triangle, angles, incircle. Level: High School, SAT Prep, College geometry
Post your solutions or ideas in the comments.
join F to E, to O, join D to E, to O
ReplyDeletename K, FE meet AO, L DE meet CO
GOH - GOF - DOH + B = 180 (from kite BFOD)
AOC + GEH - GEF - DEH = 180 (from kite EKOL)
=>
GOH - GOF - DOH + B = AOC + GEH - GEF - DEH
GOH = AOC ( as vertikales angles)
GEF = GOF ( AGFO & AGFE cyclic, see P39)
DEH = DOH ( CODH & CEDH cyclic, see P39)
=>
GEH = B
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