If we multiply the sum of two sides of a triangle by the third side, we get the following numbers: 96, 91, 75. a) How many $m$ is each side? b) How many $m^{2}$ is the area of the triangle?
In the sense of the task, the pages satisfy the following equations:

$$
(a+b) c=96, \quad(a+c) b=91, \quad(b+c) a=75
$$

The positive roots of these equations are: $a=5, \quad b=7, \quad c=8$. The area of the triangle: $t=10 \sqrt{3}$.

The task was solved by: Bálint Béla, Devecis Mihály, Feuer Mór, Freund Antal, Friedmann Bernát, Friedman Gyula, Geist Emil, Goldstein Zsigmond, Grünhut Béla, Hofbauer Ervin, Kántor Nándor, Klein Mór, Kornis Ödön, Piovarcsy Jenő, Riesz Frigyes, Schneider Béla, Szita István, Weisz Ármin.