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A triangle in the xy-coordinate plane has vertices with coordinates (7, 0), (0, 8), and (20, 10). what is the area of this triangle
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A triangle in the xy-coordinate plane has vertices with coordinates (7, 0), (0, 8), and (20, 10). what is the area of this triangle

User Wyz
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1 Answer

2 votes
A(7,0)
B(0,8)
C(20,10) ⇒ A (ABC)= 1/2 | det( 7 0 1 ) | =
0 8 1
20 10 1

7 0 1
0 8 1
= 1/2 |7*8*1+0*10*1+20*0*1 -20*8*1-7*10*1-0*0*1 |=1/2*|-174|=1/2*174
A (ABC)=87 units
User Charles Grunwald
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7.9k points
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