Answer:
d. 690.1 units²
Step-by-step explanation:
1. You can use the Heron's formula to calculate the area of the triangle, which is:
[tex]K=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where:
[tex]s=\frac{a+b+c}{2}[/tex]
2. Calculate [tex]s[/tex]:
[tex]s=\frac{33+51+42}{2}\\s=63[/tex]
3. Substitute values into the formula shown above and calculate the area, as following:
[tex]K=\sqrt{63(63-33)(63-51)(63-42)}\\K=690.1units^{2}[/tex]
4. Therefore, the area is 690.1 units².
