What is the area of triangle ABC ? round to the nearest square unit ?

Answer: 33 square units
Step-by-step explanation:
Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.
Heron's formula:-
[tex]\text{Area of triangle}=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where s is the semiperter and a,b and c are the side-lengths of the triangle.
Let a=16 , b=10 and c=8
Then,
[tex]s=\dfrac{a+b+c}{2}=\dfrac{16+10+8}{2}=17[/tex]
Using Heron's formula:-
[tex]\text{Area of triangle}=\sqrt{17(17-16)(17-10)(17-8)}\\\\\Rightarrow\ \text{Area of triangle}=\sqrt{1071}=32.7261363439\approx33\text{ square units}[/tex]