The distance from AB = BC. AB = x^2 and BC = 9. Find AC.

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SUMMARY

The problem states that the distance from AB equals the distance from BC, with AB defined as x^2 and BC as 9. By solving the equation sqrt{x^2} = sqrt{9}, it is established that x equals 3. Consequently, since both AB and BC equal 9, the total distance AC is calculated as 18. This conclusion is based on basic geometric principles, confirming that AC is indeed 18 when AB and BC are both 9.

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Find Distance AC.

The distance from AB = BC. AB = x^2 and BC = 9. Find AC.

My Work:

A------x^2------B-----9----C

sqrt{x^2} = sqrt{9}

x = 3

Then x^2 = 3^2 = 9

If AB = 9 and BC = 9, then we add AB + BC to get the entire distance. This is basic geometry.

AC = 18

Correct?
 
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If AB = BC and BC = 9 then AB = 9. AB + BC = AC = 9 + 9 = 18.
 
greg1313 said:
If AB = BC and BC = 9 then AB = 9. AB + BC = AC = 9 + 9 = 18.

It feels good to be right.
 
That is assuming AC is a straight line, of course. If not, how do we answer?
 

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