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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Mathematics

Abril Hensley

Today, 05:56

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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Addison Robertson · Answer 1

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