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  • 02-12-2017
  • Mathematics
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what is the value of x?

what is the value of x class=

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AprilKitties
AprilKitties AprilKitties
  • 02-12-2017
What you can do, is say the whole thing was a triangle, with 6 (3+3) being the hypotenuse and x being one of the legs.

You know that it's a right triangle, and you also know that the legs are the same length because of SAS.

So you can use the pythagorean's theorem here.

Since a = x and b is also equal to x, (because the sides are the same lengths)

x^2 + x^2 = 6^2

x^2 + x^2 = 36

2x^2 = 36

x^2 = 18

x = [tex] \sqrt{18} [/tex]

[tex] \sqrt{18} [/tex] = [tex] \sqrt{9} * \sqrt{2} [/tex]

x = 3[tex] \sqrt{2} [/tex]

Hope this helped :)
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