Question

abcd is a rectangle whose three vertices are given B(4,0),C(4,3) and D(0,3).the length of one of its diagonal is?

Answer 1

okk so as we the diagonals of a parallelogram bisect each other so...let the diagonals intersect at. point O..then O is equidistant from point D and C..so..0+4/2,3+3/2=>O(2,3)..now in the same way it is equidistant from A and B..so..x+4/2=2,y+0/2=3=>x=0,y=6..so length of the diagonals=>as they both are equal in length=√(0-4)^2+(6-3)^2=√25=5 units