Finding tangent for angle of right triangleGiven : Right △ A B C CH is altitude and A H = 2, B H = 8. Here is drawingFind the t a n ∠ C B AHere 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.

Question

Finding tangent for angle of right triangleGiven : Right   △  A  B  C CH is altitude and   A  H  =  2,   B  H  =  8. Here is drawingFind the   t  a  n  ∠  C  B  AHere 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&#039;t find my mistake.

postotnojeyf · Accepted Answer

CW answer to remove it from unanswered queue:For   (  x  ,  y  ,  z  )  =  (  1.1  ,  1.01  ,  1.001  ), the expression is clearly   ≃  0.22  &amp;lt;      3    2  , contradicting the inequality at hand.

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

Answered question

Answer & Explanation

New Questions in High school geometry