Question

the area of this rhombus is 3 square inches. one of its diagonals is 3 inches. what is the length of the missing diagonal, d? inches

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is $A = \frac{1}{2} \times d_1 \times d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Substitute known values

We know $A=3$ square inches, $d_1=3$ inches. Substitute into the formula:
$3 = \frac{1}{2} \times 3 \times d$

Step3: Solve for $d$

First multiply both sides by 2:
$6 = 3 \times d$
Then divide both sides by 3:
$d = \frac{6}{3} = 2$

Answer:

2 inches