Question

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

Answer 1

The options of this question are:

1. $d_{1}=2Ad_{2}$

2.$d_{1}= \frac{2A}{d_{2}}$

3.$d_{2}= \frac{d_{1}}{2A}$

4.$d_{2}= \frac{2A}{d_{1}}$

5.$d_{2}= 2A{d_{1}}$

The formula for area of rhombus is given by:

A = $\frac{1}{2} d_{1} d_{2}$ where $d_{1}$ and $d_{2}$ are the diagonals of rhombus.

We have to determine the equivalent expressions.

Since, A = $\frac{1}{2} d_{1} d_{2}$

Multiplying both sides of the above equation by 2, we get

2A = $d_{1} d_{2}$

So, $d_{1} = \frac{2A}{d_{2}}$ and $d_{2} = \frac{2A}{d_{1}}$

Hence, Option 1 and 4 are the equivalent expressions.

Answer 2

Answer:

A and D is your answer

Step-by-step explanation:

edg