Answer: 33 square units
Explanation:
Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.
Heron's formula:-
, 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,
![s=(a+b+c)/(2)=(16+10+8)/(2)=17](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cbiec3qv2kcfkdatmom447s2fomhjxeqvm.png)
Using Heron's formula:-
![\text{Area of triangle}=√(17(17-16)(17-10)(17-8))\\\\\Rightarrow\ \text{Area of triangle}=√(1071)=32.7261363439\approx33\text{ square units}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j8tavt7ya8yuxggn7v9d19o6ve6wt9y8db.png)