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Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$.  If $\angle AHB = 144^\circ$ and $\angle BAH = 66^\circ$, then what is $\angle HCA$ in degrees?

 Feb 9, 2024
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                     A

                 66

                              E

              144 H

               

        B           D                C

 

This is impossible.....triangle  AHB would have interior angles that sum to  more than 144 + 66  = 210°

 

 

cool cool cool

 Feb 9, 2024

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