Obliczmy wysokość
[tex] {x}^{2} + {16}^{2} = {34}^{2} \\ {x}^{2} + 256 = 1156 \\ {x}^{2} = 900 \\ x = \sqrt{900} \\ x = 30[/tex]
Zatem pole
[tex] \frac{32 \times 30}{2} = 32 \times 15 = \boxed{480}[/tex]