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H is the orthocenter of acute triangle ABC and the extensions of AH, BH, and CH intersect the circumcircle of traingle ABC at A prime, B prime and C prime. We know angle AHB : angle BHC : angle CHA = 2 : 5 : 8. Find angle AprimeBprimeCprime in degrees.

 Nov 1, 2020
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H is the orthocenter of acute triangle ABC and the extensions of AH, BH, and CH intersect the circumcircle of traingle ABC at A prime, B prime and C prime. We know angle AHB : angle BHC : angle CHA = 2 : 5 : 8. Find angle AprimeBprimeCprime in degrees.

 

angle AHB : angle BHC : angle CHA = 2 : 5 : 8       (48º,120º,192º)

 

This ratio is NOT possible!!!   These angles cannot be larger than 180º.

 Nov 2, 2020

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