1.49. The area of a right triangle is $24 \mathrm{~cm}^{2}$, and the hypotenuse is 10 cm. Find the radius of the inscribed circle.
1.49. I n d i c a t i o n. Denoting the legs of the triangle by $a$ and $b$, solve the system of equations

$$
\left\{\begin{array}{l}
a b=48 \\
a^{2}+b^{2}=100
\end{array}\right.
$$

and then use the formula $S=p r$.

Answer: 2 cm.