Question

the formula for the area of a rhombus is $a = \frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals. which are equivalent equations? select two correct answers. $\square$ $d_1 = 2ad_2$ $\square$ $d_1 = \frac{2a}{d_2}$ $\square$ $d_2 = \frac{d_1}{2a}$ $\square$ $d_2 = \frac{2a}{d_1}$ $\square$ $d_2 = 2ad_1$

Explanation:

Step1: Start with given area formula

$A = \frac{1}{2}d_1d_2$

Step2: Isolate $d_1$ (multiply by 2)

$2A = d_1d_2$

Step3: Solve for $d_1$ (divide by $d_2$)

$d_1 = \frac{2A}{d_2}$

Step4: Solve for $d_2$ (divide by $d_1$)

$d_2 = \frac{2A}{d_1}$

Answer:

B. $d_1 = \frac{2A}{d_2}$
D. $d_2 = \frac{2A}{d_1}$