Question

What is the area of ΔABC given a = 11 inches, b = 22 inches, and m∠C = 27°? 35.349 in.2 54.933 in.2 107.812 in.2 115.721 in.2

Answer 1

We can find the area using the following formula:

$\begin{gathered} A=\frac{1}{2}a\cdot b\cdot\sin (C) \\ _{\text{ }}where\colon \\ a=11 \\ b=22 \\ m\angle C=27 \\ so\colon \\ A=\frac{1}{2}\cdot11\cdot22\cdot\sin (27) \\ A=54.933_{\text{ }}in^2 \end{gathered}$

Answer:

54.933 in²