In rhombus ABCD, AC = 18, and BD = 24, what is the length of one side of the rhombus?
B
1) 30
2) 42
3) 15
4) 21

15

Step-by-step explanation:

Here, given the diagonals of the Rhombus, we want to get the length of one side of the Rhombus

We proceed to use the formula below;

d1 = √(4a^2-d2^2

Where d1 represents the length of one diagonal

a is the side of the Rhombus

d2 is the length of the second diagonal

Thus, mathematically;

d2^2 = 4a^2 - d1^2

4a^2 = d2^2 + d1^2

4a^2 = 18^2 + 24^2

4a^2 = 900

a^2 = 900/4

a^2 = 225

a = √225

a = 15