`A B C D` is a rhombus whose diagonals intersect at `Odot` If `A B=10 c m,` diagonals `B D=16\ c m` , find the length of diagonal `A C`

Explanation

To find the length of diagonal AC in the rhombus ABCD, we can follow these steps:

### Step 1: Understand the properties of the rhombus
In a rhombus, the diagonals bisect each other at right angles (90 degrees). This means that if diagonals BD and AC intersect at point O, then AO and OC are equal, and BO and OD are equal.

### Step 2: Identify the lengths given
We are given:
- AB = 10 cm (the length of one side of the rhombus)
...