Chapter 13, Trigonometric Ratios and Functions - 13.6 Apply the Law of Cosines - 13.6 Exercises - Skill Practice - Page 892: 26

$$A=30\sqrt{51}$$

By Heron's Formula, we know: $$A=\sqrt{s(s-a)(s-b)(s-c)}$$ Where: $$s=\frac{a+b+c}{2}$$ Thus, we find: $$s=\frac{25+24+19}{2}=34 \\ A=\sqrt{34\left(34-25\right)\left(34-24\right)\left(34-19\right)} \\ A=30\sqrt{51}$$