Question

Abc is a triangle whose vertices are a(3,4), b (-2,-1) c (5,3) if g is the centriod andbdcg is a parallelogram then find the coordinates of the vertex

Answer 1

Answer:

(1,0) is cordinated of d

Step-by-step explanation:

Abc is a triangle whose vertices are a(3,4), b (-2,-1) c (5,3) if g is the centriod andbdcg is a parallelogram then find the coordinates of the vertex

g centroid  = ( ( 3 -2 + 5)/3  ,  (4 -1 + 3)/3 )

= (2 ,  2)

bdcg is a parallelogram

Slope of bg  =  (2 + 1)/(2 + 2) = 3/4  = Slope of cd

Slope of cg =  (3-2)/(5-2) = 1/3  = Slope of bd

cd =  y = 3/4x  + c

=> 3 = (3/4)5 + c

=> 12 = 15 + 4c

=> c = -3/4

y = 3x/4 - 3/4

4y = 3x - 3

bd =  y = (1/3)x  + c

=> -1 = (1/3)(-2) + c

=> -3 = -2 + 3c

=> c = -1/3

y = x/3  -1/3

3y =  x - 1

9y = 3x  -3

4y = 9y

=> y = 0

4*0 = 3x - 3

=> x = 1

(1,0) is cordinated of d