Duljine stranica trokuta su
![a](/media/m/6/d/2/6d2832265560bb67cf117009608524f6.png)
,
![b](/media/m/e/e/c/eec0d7323095a1f2101fc1a74d069df6.png)
i
![\displaystyle c = \frac{a^2 - b^2}{\sqrt{a^2 + b^2}}](/media/m/d/2/2/d22b5bfa138b4b1aaaa50934384d3e54.png)
,
![a > b](/media/m/3/7/5/37594d4b0c0b78e3811a7fc1f992335b.png)
. Dokaži da za kutove
![\alpha](/media/m/f/c/3/fc35d340e96ae7906bf381cae06e4d59.png)
i
![\beta](/media/m/c/e/f/cef1e3bcf491ef3475085d09fd7d291e.png)
, nasuprotne stranicama
![a](/media/m/6/d/2/6d2832265560bb67cf117009608524f6.png)
i
![b](/media/m/e/e/c/eec0d7323095a1f2101fc1a74d069df6.png)
, vrijedi
![\alpha-\beta = 90^{\circ}](/media/m/b/8/b/b8bfd59f528e915f11396289fa4ccfd8.png)
.
%V0
Duljine stranica trokuta su $a$, $b$ i $\displaystyle c = \frac{a^2 - b^2}{\sqrt{a^2 + b^2}}$, $a > b$. Dokaži da za kutove $\alpha$ i $\beta$, nasuprotne stranicama $a$ i $b$, vrijedi $\alpha-\beta = 90^{\circ}$.