https://file.aiquickdraw.com/mathbot/file/1725685401474u24gim32.jpg

The image shows a quadrilateral \(ABCD\) with diagonal \(BD\). We have the following lengths given:

- \(BC = 65 \text{ cm}\)
- \(CD = 60 \text{ cm}\)

To find the length of the diagonal \(BD\), we need to know the type of quadrilateral or any additional information about the angles or other side lengths. Without that, there are multiple possibilities for the length of \(BD\) depending on the shape and properties of the quadrilateral.

1. Do we know if \(ABCD\) is a rectangle, parallelogram, rhombus, or any other specific type of quadrilateral?
2. Are there any given angles in the quadrilateral that can help determine the length of \(BD\)?
3. Is there any additional information on the lengths of \(AB\) and \(AD\)?
4. Can you confirm if the quadrilateral has any lines of symmetry or equal sides?
5. Is the diagonal \(BD\) perpendicular to any of the sides?

Tip: In many cases involving quadrilaterals, knowing the type of quadrilateral greatly simplifies the calculations, as different properties can be used to determine unknown lengths or angles.

In the figure, ABCD is a rectangle. Find the length of diagonal BD.

Learn how to find the length of the diagonal BD in a rectangle using the Pythagorean theorem. This problem provides step-by-step guidance on calculating diagonal lengths with side lengths BC = 65 cm and CD = 60 cm.

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