Question

ABCD is a rectangle . Their diagonals meet at O . If OA=4x-9,OD=2x-5. Find 'x' 'AC' 'BD'

Answer 1

Since the diagonals of a rectangle are equal and bisect each other.
So, AC = BD
.5 AC = .5 BD
OA = OD
4x - 9 = 2x - 5
4x - 2x = -5+9
2x = 4
x = 2.
AC = BD = 4