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Triangle relationship

  1. Nov 16, 2004 #1
    There are two right triangles, the first one with the base a and the height h. The second has the base a and 2h. The question is to prove the relationship between the theta 1 and theta 2 angles in the triangles (see attachment). I have been able to prove it with circle theorems but not with algebra, so i would appreciate if someone could deliver a algebraic proof, thank you.
     

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  3. Nov 16, 2004 #2

    arildno

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    Well, you should have:
    [tex]tan(\theta_{1})=\frac{a}{h}=2\frac{a}{2h}=2tan(\theta_{2})[/tex]
     
  4. Nov 16, 2004 #3
    follow up

    Does this mean theta 1 is twice as big as theta 2?
     
  5. Nov 16, 2004 #4

    Integral

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    In general, No. However, it is approximatly true when h>> a.
     
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