Question

ABCD is a rectangle if ac = 3c/9 and BD = 4- c, find the length of each diagonal

a.) 2, 2
b.) 1, 1
c.) 3, 3
d.) 16, 16

Answer 1

Option B is correct.

Explanation:

Given:

ABCD is a Rectangle.

AC =
`(3c)/(9)` and BD = 4 - c

To find: length of each Diagonal that is AC and BD

Given Line Segments are the diagonal of the rectangel ABCD.

We know that Diagonal of the Rectangles are equal in Length.

⇒ AC = BD

3c/9 = 4 - c

3c = 9 ( 4 - c )

3c = 36 - 9c

3c + 9c = 36

12c = 36

c = 3

So, AC = 3c/9 = 1 and BD = 4 - 3 = 1'

Therefore, Option B is correct.

Answer 2

The length of each diagonal is 1, 1. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.