Question #30b08

1 Answer
Sean
Dec 7, 2017

#AC=52#

Explanation:

.
In a square, both diagonals are equal to each other. This means that if we can find the length of #BD# we will have found the length of #AC#.

Also, in a square, the diagonals bisect each other. This means that #BD# is twice the length of #AE#. We can write the equation for this and use it to solve fo r#x#:.

#10x-48=2(3x-4)#

#10x-48=6x-8#

#4x=40#

#x=10#

Now, we can plug this value in for the equation for #BD#:

#BD=10(10)-48=100-48=52#

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