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

Explanation:

Step1: Isolate \(d_1\) in \(A=\frac{1}{2}d_1d_2\)

Multiply both sides by 2 to get \(2A = d_1d_2\), then divide both sides by \(d_2\) (assuming \(d_2
eq0\)), so \(d_1=\frac{2A}{d_2}\).

Step2: Isolate \(d_2\) in \(A=\frac{1}{2}d_1d_2\)

Multiply both sides by 2 to get \(2A = d_1d_2\), then divide both sides by \(d_1\) (assuming \(d_1
eq0\)), so \(d_2=\frac{2A}{d_1}\).

Answer:

\(d_1=\frac{2A}{d_2}\), \(d_2=\frac{2A}{d_1}\)