Marinada '22

[lang=hr] Promatrajmo pravokutni trokut sa stranicama $6,8,10$. Točka $D$ je na hipotenuzi, a nožišta okomica iz $D$ na katete su točke $X,Y$. Nađi minimalnu dužinu $|XY|$ kada $D$ varira na hipotenuzi. Odgovor zaokruži na $2$ decimale. [/lang] [lang=en] Consider a right triangle with sides $6,8,10$. Point D is on a hypotenuse and foot of perpendicular from point $D$ on the legs of the triangle are points $X,Y$. Find the minimal length of $|XY|$ when $D$ varies on the hypotenuse. Round the answer to 2 decimal points. [/lang]