Question

The fourth vertex of the rectangle whose three vertices
taken in order are (4,1), (7, 4), (13, - 2) is ..............plz tell me the answer

Answer 1

Let rectangle be ABCD and the point A is 4,1 ; B is 7,4; C is 13, -2 and D isa,b

For a rectangle, mid point of diagonal are same.

midpoint of AC = 4+13 /2 , 1-2 /2 = 17/2, -1/2

midpoint of BD = a+7 /2 , b+4/2

a+7 /2 =17/2

a+7=17

a=10

similarly, b+4 / 2 = -1/2

b+4=-1

b = -5

The fourth co-ordinate of rectangle is (10,-5)