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ABCD is rectangle. Find the length of each diagonal
AC=c/3
BD=4-c

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3 votes
The lenght of each diagonals is 1.
User Manu NALEPA
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8.0k points
3 votes

Answer:

Recall the following result:

In a rectangle ABCD, the diagonals AC and BD are equal to each other, that is, AC = BD.

Consider the following statement:


\text{AC}=(c)/(3) and BD =4-c

The objective is to find the length of each diagonal.

As per the result:

In a rectangle ABCD:

AC = BD

Substitute the given values:


(c)/(3) =4-c

Multiply both sides by 3:


c = 3(4-c)

Simplify:

c = 12-3c

Add 3c to both sides :

4c= 12

Divide both sides by 4;

c = 3

Then,


\text{AC}=(3)/(3)=1

BD=4-3 = 1

Therefore, the length of each diagonal is, 1.

User Shamim
by
8.4k points

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