Respuesta :

choixongdong

Isosceles trapezoid , diagonals are equal

AC = DB

x + 1 = 2x - 3

x = 4

So AC = DB = 4 + 1 = 5

Answer:

The length of the diagonals = 5

Answer:

Each diagonal has a length of 5 units.

Step-by-step explanation:

We know by given that side AD is equal to side BC.

Also, we know

[tex]AC=x+1[/tex] and [tex]DB=2x-3[/tex]

Now, by definition, isosceles trapezoids have equal diagonals. So,

[tex]AC=DB\\x+1=2x-3\\1+3=2x-x\\x=4[/tex]

Then, we replace the value of the variable in each expression to find the length of each diagonal

[tex]AC=x+1=4+1=5\\DB=2x-3=2(4)-3=8-3=5[/tex]

Therefore, each diagonal has a length of 5 units.

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