Question

ABCD is a rectangle whose diagonals meet at O, if OA= 3x+2 and OB= 4x-3 .The length of one diagonal is ___________ cm

Answer 1

⇒  In given figure ABCD is a rectangle.

⇒  OA=2x+4 and OD=3x+1               [Given]

⇒  AC and BD are diagonals of a rectangle.

⇒  We know that diagonals of rectangle are equal.

⇒  So, AC = BD

We can also write it as,

⇒  2×OA=2×OD

⇒  $$2\times(2x+4)= 2\time (3x+1)

⇒  2x+4=3x+1

∴   x=3