Maths / Coordinate Geometry / Area of Triangle Using Coordinate

QUESTION
 

Find the area of the triangle whose vertices are (-5,-1), (3,-5), (5,2)

EXPLANATION
Explain TypeExplanation Content
Text

The area of the triangle formed by the vertices A(-5,-1), B(3,-5) and C(5, 2) is given by

                                         large dpi{120} large frac {1}{2}left [ -5(-5-2)+3(2+1)+5(-1+5) right ]

                                       large =frac {1}{2}left [ -5(-7)+ 3(3)+5(4) right ]

                                       large =frac {1}{2}left [ 35+9+20 right ]

                                      large =frac {64}{2} = 32 : sq: units

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