Respuesta :
The options of this question are:
1. [tex] d_{1}=2Ad_{2} [/tex]
2.[tex] d_{1}= \frac{2A}{d_{2}} [/tex]
3.[tex] d_{2}= \frac{d_{1}}{2A} [/tex]
4.[tex] d_{2}= \frac{2A}{d_{1}} [/tex]
5.[tex] d_{2}= 2A{d_{1}} [/tex]
The formula for area of rhombus is given by:
A = [tex] \frac{1}{2} d_{1} d_{2}[/tex] where [tex] d_{1}[/tex] and [tex]d_{2}[/tex] are the diagonals of rhombus.
We have to determine the equivalent expressions.
Since, A = [tex] \frac{1}{2} d_{1} d_{2}[/tex]
Multiplying both sides of the above equation by 2, we get
2A = [tex] d_{1} d_{2} [/tex]
So, [tex] d_{1} = \frac{2A}{d_{2}} [/tex] and [tex] d_{2} = \frac{2A}{d_{1}} [/tex]
Hence, Option 1 and 4 are the equivalent expressions.
Answer:
Options 1 and 4 are the correct answers.
Step-by-step explanation:
