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Use determinants to find the area of the triangle with vertices at the given points.

P(0, 0), Q(20, 0), R(20, 6)

 

a. A=20

b. A=60

c. A=120

d. A=6

e. none of these 

 Aug 26, 2016
 #1
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Like so:

 

\(\text{area = } \frac{1}{2}\left| \begin{array}{rrrrr}0 & 0 & 1 \\ 20 & 0 & 1 \\ 20 & 6 & 1\end{array}\right| \\ \\ \text{area = } (0*(0*1 - 6*1) - 0*(20*1 - 20*1) + 1*(20*6 - 20*0))/2 \\ \\ \text{area = } 60 \\ \\ \)

 Aug 26, 2016

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