# How do you find the area of triangle ABC given A=70, b=4, c=12?

Mar 19, 2017

$\text{area "~~22.55" square units}$

#### Explanation:

The area ( A ) of triangle ABC can be calculated using.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{A = \frac{1}{2} b c \sin A} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{here " b=4,c=12" and angle } A = {70}^{\circ}$

$\Rightarrow A = \frac{1}{2} \times 4 \times 12 \times \sin {70}^{\circ}$

$\textcolor{w h i t e}{\times \times} = 24 \times \sin {70}^{\circ}$

$\textcolor{w h i t e}{\times \times} \approx 22.55 \text{ square units}$