Altitudes AD and BE of triangle ABC intersect at H. If BAC = 54 and ABC = 56, then what is angle AHB?
+23246 1) Knowing the sizes of angles BAC and ABC, you can find the size of angle ABC.
2) In quadrilateral ECDH, you know the sizes of angles ACB, CEH and CDH; so, you can find the size of angle EHD.
3) Knowing the size of angle EHD, you can find the size of angle AHB.
+14903 What is angle AHB?
Hello Guest!
The sides AC and BC are lines in the right-angled coordinate system.
\(m_{h_a}=-\frac{1}{tan(-56°)}\\ \angle HAB=atan\ m_{h_a}=\color{blue}34°\)
\(m_{h_b}=-\frac{1}{tan(54°)}\\ \angle ABH=atan\ m_{h_b}=\color{blue}-36°\)
\(\angle AHB=180°-34°-36°\)
\(\angle AHB=110°\)
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