How do you find the area given a=12.32, b=8.46, c=15.05?

Jul 8, 2017

$\text{area "~~52.108" square units}$

Explanation:

$\text{calculate area using "color(blue)"Heron's formula}$

$\left(1\right) \textcolor{w h i t e}{x} \text{calculate semi-perimeter (s )}$

$s = \frac{a + b + c}{2}$

$\textcolor{w h i t e}{s} = \frac{12.32 + 8.46 + 15.05}{2} = 17.915$

$\left(2\right) \textcolor{w h i t e}{x} \text{calculate area (A )}$

$A = \sqrt{s \left(s - a\right) \left(s - b\right) \left(s - c\right)}$

$\textcolor{w h i t e}{A} = \sqrt{17.915 \times 5.595 \times 9.455 \times 2.865}$

color(white(A)=sqrt(2715.2077..)
$\textcolor{w h i t e}{A} \approx 52.108 \text{ to 3 dec. places}$