Right triangle ABC CH is altitude and AH=2, BH=8. Find the tan angle CBA

Josie Kennedy 2022-11-20 Answered
Finding tangent for angle of right triangle
Given : Right A B C CH is altitude and A H = 2, B H = 8. Here is drawing

Find the t a n C B A
Here is how I solved the exercise: From that fact that ABC is right triangle A C 2 = A H A B (Altitude on hypotenuse theorem) \Rightarrow AC=\sqrt{2 \cdot 10}=\sqrt{20} and t a n C B A = A C A B = 2 5 10 = 5 5 .
However the answer in test is 12. I can't find my mistake.
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Answers (1)

postotnojeyf
Answered 2022-11-21 Author has 16 answers
CW answer to remove it from unanswered queue:
For ( x , y , z ) = ( 1.1 , 1.01 , 1.001 ), the expression is clearly 0.22 < 3 2 , contradicting the inequality at hand.
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