Find the area of the triangle. If necessary, round the answer to two decimal places.
-$\alpha = 23 ^ { \circ } , \mathrm { b } = 9 , \mathrm { c } = 2$
A) 3.52
B) 3.50
C) 3.51
D) 3.53

Question

Quizplus · Accepted Answer

Using the Law of Sines, we can find the height $h$ of the triangle relative to base $c$. The formula is $h = b \sin(\alpha)$. Plugging in the given values, $h = 9 \sin(23^\circ)$. Calculating this gives $h \approx 3.52$. The area of the triangle is $\frac{1}{2} \times base \times height = \frac{1}{2} \times 2 \times 3.52 = 3.52$.

Find the Area of the Triangle α=23∘,b=9,c=2\alpha = 23 ^ { \circ } , \mathrm { b } = 9 , \mathrm { c } = 2α=23∘,b=9,c=2

Find the Area of the Triangle $\alpha = 23 ^ { \circ } , \mathrm { b } = 9 , \mathrm { c } = 2$