Given :
AB and CD bisect each other at E. CE = 2x - 3, AE = 6x - 10 and CD = 66.
To Find :
Length of AB.
Solution :
Since, E bisect both AB and CD, so it cuts them in two equal parts.
So, 2CE = CD
2(2x -3 ) = 66
2x - 3 = 33
x = 18 units.
Also, AB = 2AE
AB = 2(6x-10)
Putting value of x = 18 in above equation , we get :
AB = 2( 6(18) - 10 )
AB = 196 units.
Therefore, the length of AB is 196 units.
Hence, this is the required solution.
