Question

ABCD is a rectangle. Find the length of each diagonal.

AC = 2(5a+1)
BD = 2(a+1)

Answer 1

2(5a+1) = 2(a+1)

5a + 1= 2a + 1

3a = 0

a = 0

Each diagonal is 2

Answer 2

For this case we have the following diagonals.

Since it is a rectangle, then the length of the diagonals is the same.

We have then:

AC = BD

Substituting values we have:

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Rewriting:

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Clearing the value of a we have:

`image`

Substituted the value of a in any of the equations we have:

`image`

Answer:

The length of each diagonal is:

`AC = BD = 2`