The formula for the area of a rhombus is A =1/2 d1d2, where d1 and d2 are the lengths of the diagonals. Which are equivalent equations? Check all that apply.
d1 = 2Ad2
d1 = 2a/d2
d2 = d1/2a
d2 = 2a/d1
d2 = 2Ad1

Respuesta :

Riia

In this question, the formula of area of rhombus is given, which is

[tex]A = \frac{1}{2} d_{1}*d_{2}[/tex]

And whether we need to write the equivalent expression in terms of d1 or d2, we have to get rid of the denominator 2 first.

And for that, we multiply both sides by 2.

[tex]2A =d_{1}*d_{2}[/tex]

If we have to solve for d1, we have to divide both sides by d2. And if we have to solve for d2, we have to divide both sides by d1 . That is

[tex]d_{1} = \frac{2A}{d_{2}} , d_{2} = \frac{2A}{d_{1}}[/tex]

Correct options are second and fourth .

Answer:

B. d1 = 2a/d2

D. d2 = 2a/d1

Step-by-step explanation: