Question

ABCD is a rectangle. If the diagonals AC and BD intersect at O and OC = 3 cm, find BD.

• A. 3 cm
• B. 4 cm
• C. 5 cm
• D. 6 cm

Answer 1

The correct option is D 6 cm


Given, ABCD is a rectangle and OC = 3cm.
The diagonals of a rectangle bisect each other.

So, if AC is a diagonal, intersecting BD at O, AO = OC = 3 cm.
AC = AO + OC = 3 cm + 3 cm = 6 cm.

In a rectangle, diagonals are equal.
So, AC = BD.
Since, AC = 6 cm
$\therefore$ BD = 6 cm.