pls solve this question
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Step-by-step explanation:
let the third vertices of triangle =(x,y)
Centroid = (x1 + x2 + x3)/3 , (y1 +y2 + y3)/3
(4,-8). =. (-9 +1 +x)/3 ,. ( 7 + 4 + y)/3
(4,-8) =. (-8 +x) /3 , (11 + y) /3
4 = (-8+ x ) /3. , -8 = (11 +y ) /3
12 +8 =x. ,. -24-11 = y
x= 20 , y = -35
Area of the triangle ( -9,7) , (1,4) ,(20,-35)
= 1/2 [ x1 (y2 -y3) + x2 (y3 -y1) + x3 ( y1 -y2)]
= 1/2 [ -9 (4 +35) +1 (-35-7) +20 (7 - 4) ]
= 1/2 [-9 ×39 - 1× 42 +20 × 3 ]
= 1/2 [ -351 -42 +60 ]
= 1/2 [-393 +60] = 1/2 (-333) = -166.5
Neglected negative sign so area is 166.5
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