Question

4. If the centroid of a triangle is (1,4) and two of its vertices are (4,-3) and (-9,7) then the area
of the triangle is
(a) 183 sq. units
(b) 132 sq. units
(c) 366 sq. units
(d) 13 sq. units​

Answer 1

Answer:

Step-by-step explanation:

Centroid formula in coordinate system is

=> x = x1+x2+x3/3  &  y = y1+y2+y3/3

1 = 4-9+x/3

x= 8

4 = -3+7+y/3

y = 8

Therefor the third vertex coordinate is (8,8)

Area of triangle in coordinate system

= [x1(y2-y3) + x2(y3-y1) + x3(y1-y2)]/2

Please make sure that the area is always positive hence if the result of the above formula is negative, take the mod of it.