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Sergio039 [100]
2 years ago
6

Find the area of the shaded polygons NEED ASAP PLEASE!! THANK YOU

Mathematics
1 answer:
goldenfox [79]2 years ago
8 0

Answer:

168

Step-by-step explanation:

area of a trapezoid is

((a+b)/2)*h

((8+16)/2)*14

12*14 =

168

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Check the picture below.

\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
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The answer would be D) :)
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