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 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. $d_1 = 2ad_2$ $d_1 = \\frac{2a}{d_2}$ $d_2 = \\frac{d_1}{2a}$ $d_2 = \\frac{2a}{d_1}$ $d_2 = 2ad_1$

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. $d_1 = 2ad_2$ $d_1 = \\frac{2a}{d_2}$ $d_2 = \\frac{d_1}{2a}$ $d_2 = \\frac{2a}{d_1}$ $d_2 = 2ad_1$

Answer

Answer:

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

Explanation:

Step1: Start with the area formula

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

Step2: Solve for $d_1$

Multiply both sides by 2 to get $2A=d_1d_2$, then divide both sides by $d_2$: $d_1=\frac{2A}{d_2}$.

Step3: Solve for $d_2$

From $2A = d_1d_2$, divide both sides by $d_1$: $d_2=\frac{2A}{d_1}$.