Question

In the given question find the area of the triangle. Round the answers to two decimal places.

$a=2,c=1,B=10°$

Short answer

Required area of the triangle is$0.17squareunits$

Step-by-step solution

Step 1. Given information

From the given triangle we can find the area of the triangle by the following formula:

$Area=\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\times a\times c\times \sin \left(B\right)$

Step 2. Calculation

$Fromtheabovefigure,theareaofthetriangleis:$

$$\begin{gathered} Area=\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\times a\times c\times \sin \left(B\right) \\ Given, \\ a=2,c=1,B=10° \\ Area=\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\times 2\times 1\times \sin \left(10°\right) \\ =\sin \left(10°\right) \\ =0.1736 \\ \approx 0.17squareunits \end{gathered}$$