if g is the centroid of a triangle formed by A(6,1) B(3,5) C(-1,-1), then find the area of the triangle GAB
Answers
Answered by
49
A(6,1) = (x2,y2)
B(3,5) = (x3,y3)
C(-1,-1) = (x4,y4)
G [ (x2+x3+x4)/3 , (y2+y3+y4)/3 ]
G [ (6+3-1)/3 , (1+5-1)/3 ]
G (8/3,5/3)
G (x1,y1) = (8/3,5/3)
A (x2,y2) = (6,1)
B (x3,y3) = (3,5)
Area of ∆ = 1/2 [ x1(y2-y3) + x2(y3-y1) + x3(y1-y2) ]
= 1/2 [ 8/3(1-5) + 6(5-5/3) + 3(5/3-1) ]
= 1/2 (-32/3 +60/3 +6/3)
= 1/2 (34/3)
= 17/3 unit^2
Hope this helps... plsss make it the brainliest
B(3,5) = (x3,y3)
C(-1,-1) = (x4,y4)
G [ (x2+x3+x4)/3 , (y2+y3+y4)/3 ]
G [ (6+3-1)/3 , (1+5-1)/3 ]
G (8/3,5/3)
G (x1,y1) = (8/3,5/3)
A (x2,y2) = (6,1)
B (x3,y3) = (3,5)
Area of ∆ = 1/2 [ x1(y2-y3) + x2(y3-y1) + x3(y1-y2) ]
= 1/2 [ 8/3(1-5) + 6(5-5/3) + 3(5/3-1) ]
= 1/2 (-32/3 +60/3 +6/3)
= 1/2 (34/3)
= 17/3 unit^2
Hope this helps... plsss make it the brainliest
Similar questions