Question

Find the area of each triangle. Round answers to two decimal places

Short answer

The area of the triangle is $8.18$sq. units

Step-by-step solution

Given information

$a=8,b=5,c=4$

Calculation

$$\begin{gathered} s=\frac{1}{2}(a+b+c) \\ =\frac{1}{2}(8+5+4) \\ =8.5 \\ ByHeron\text{'}sformulaareaoftriangleisgivenby \\ K=\sqrt{s(s-a)(s-b)(s-c)} \\ =\sqrt{8.5(8.5-8)(8.5-5)(8.5-4)} \\ =8.18sq.units \end{gathered}$$