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:

Isolate the first diagonal variable

Using the Rearranging Formulas and Literal Equations knowledge points

$$
LATEXBLOCK0
$$

Isolate the second diagonal variable

Using the Rearranging Formulas and Literal Equations knowledge points

$$
LATEXBLOCK1
$$

Match with the given options

Using the Literal Equations knowledge point

$$
LATEXBLOCK2
$$

Answer:

• (A) \(d_1 = 2Ad_2\)
• (B) \(d_1 = \frac{2A}{d_2}\) (Correct answer)
• (C) \(d_2 = \frac{d_1}{2A}\)
• (D) \(d_2 = \frac{2A}{d_1}\) (Correct answer)
• (E) \(d_2 = 2Ad_1\)