Question #30b08

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Question #30b08

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Answer 1 · 2017-12-07T01:37:46

$A C = 52$ $AC=52$

Explanation:

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

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

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

$10 x - 48 = 6 x - 8$ $10x-48=6x-8$

$4 x = 40$ $4x=40$

$x = 10$ $x=10$

Now, we can plug this value in for the equation for $B D$ $BD$ :

$B D = 10 (10) - 48 = 100 - 48 = 52$ $BD=10(10)-48=100-48=52$

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Question #30b08

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