+0  
 
0
54
1
avatar

Altitudes AX and BY of acute triangle ABC intersect at H. If angle BAC = 43 degrees and angle ABC = 67 degrees, then what is angle AHC?

 Oct 23, 2021
 #1
avatar+12691 
+1

What is angle AHC?

 

Hello Guest!

 

Let the base points of the heights from corners A, B, C of the triangle be a, b, c.

 

\(ACH=90-CAB=90-43=47\\ HCB=ACB-ACH=70-47=23\\ CHb=90-ACH=90-47=43\\ CHa=90-HCB=90-23=67\\ AHC=180-CHa=180-67=113 \)

\(AHC=113°\)

 

The angle AHC is 113°.

laugh  !

 Oct 23, 2021
edited by asinus  Oct 23, 2021
edited by asinus  Oct 23, 2021

17 Online Users