Question

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

Short answer

The area of the triangle is $14.98$sq. units

Step-by-step solution

Given information

Here$a=6,b=5,c=8$

Calculation

$$\begin{gathered} s=\frac{1}{2}(a+b+c) \\ =\frac{1}{2}(6+5+8) \\ =9.5 \\ ByHeron\text{'}sformulaareaoftriangleisgivenby \\ K=\sqrt{s(s-a)(s-b)(s-c)} \\ =\sqrt{9.5(9.5-6)(9.5-5)(9.5-8)} \\ =14.98sq.units \end{gathered}$$