http://media.education2020.com/evresources/2004-04-01-02-00_files/i0130000.jpg Find the unknown side length, x. Write your answer in simplest radical form

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http://media.education2020.com/evresources/2004-04-01-02-00_files/i0130000.jpg Find the unknown side length, x. Write your answer in simplest radical form

Algebra
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1440193477028:dw|
We are looking for x.
What do the circled marks mean? |dw:1440193557796:dw|

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@mathstudent55 , the circled marks are called hash marks and lines with the same number of hash marks indicate that these sides are the same length. It saves cluttering up sketches with dimensions. For example, a rectangle might look like |dw:1440193790343:dw|
I believe I knew that. I was asking the poster to see if he/she knew it, so we could work on the problem.
Yeah I knew what they mean but I figured it out I just asked my E2020 teacher for help even though he didn't get it either. Thank you for you help though
Ok. We know those marks mean the two segments are congruent. That means we can now add this to the|dw:1440194145894:dw| drawing:
Now just look at the triangle at the right. |dw:1440194177047:dw|
What kind of triangle is it?
Sorry, gtg. Here is the rest of the solution. This triangle is a right triangle. We know that because the figure shows a right angle. We can use the Pythagorean theorem. \(a^2 + b^2 = c^2\) |dw:1440194360342:dw|
Using the formula above for our triangle, we get: \(3^2 + 6^2 = x^2\) \(9 + 36 = x^2\) \(45 = x^2\) \(x^2 = 45\) \(x = \sqrt {45} \) Now we need simplest radical form. We factor 45 into 2 factors, one being the largest perfect square factor we can find. \(x = \sqrt {9 \times 5} \) \(x = 3 \sqrt 5\)
Sorry, but gtg. If you have questions, just ask them.

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