Question

The diagonals AC and BD of rectangle ABCD intersect each other at point O. If OA equals to 5 cm find AC and BD.

Answer 1

hi friend
OA=5cm then
OC=5cm    (as the diagonals bisect each other)
AC=10cm
AC=BD  (as the diagonals of the rectangle are equal)
BD=10cm
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Answer 2

Answer:

$AC = 10$ cm and $BD = 10$ cm.

Step-by-step explanation:

Properties of rectangle:-

• In a rectangle, each angle is of 90°.
• The diagonals of the rectangle are of equal length.
• In a rectangle, the diagonals bisect each other.
• Opposite sides of rectangles are equal in length.

Step 1 of 1

To find the length of $AC$ and $BD$.

According to the question,

ABCD is a rectangle in which diagonals AC and BD intersect each other at point O.

This implies the point O is the bisector of AC and BD.

⇒ $AO = OC = BO = OD$

It is given that $OA = 5$ cm.

Thus, OC = 5 cm, BO = 5 cm and OD = 5 cm

From the figure,

AC = AO + OC

     = 5 + 5

     = 10 cm

Similarly,

BD = BO + OD

     = 5 + 5

     = 10 cm

Therefore, $AC = 10$ cm and $BD = 10$ cm.

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