# Triangle relationship

1. Nov 16, 2004

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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2. Nov 16, 2004

### arildno

Well, you should have:
$$tan(\theta_{1})=\frac{a}{h}=2\frac{a}{2h}=2tan(\theta_{2})$$

3. Nov 16, 2004