Question

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

$b=1,c=3,A=80°$

Short answer

Required area of the triangle is$1.48squareunits$

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 b\times c\times \sin \left(A\right)$

Step 2. Calculation

$Fromtheabovefigure,theareaofthetriangleis:$

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

$$\begin{gathered} Given, \\ b=1,c=3,A=80° \\ Area=\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\times 1\times 3\times \sin \left(80°\right) \\ =1.5\times \sin \left(80°\right) \\ =1.5\times 0.9848 \\ =1.4772 \\ \approx 1.48squareunits \end{gathered}$$