SOLUTION: Find the value of x in the image. Express your answer in simplest radical form. Here is a link to the image: https://imgur.com/a/IXBcnIl Would ((5√2)/2) be correct?

Algebra ->  Triangles -> SOLUTION: Find the value of x in the image. Express your answer in simplest radical form. Here is a link to the image: https://imgur.com/a/IXBcnIl Would ((5√2)/2) be correct?      Log On


   

Question 1187805: Find the value of x in the image. Express your answer in simplest radical form.
Here is a link to the image: https://imgur.com/a/IXBcnIl
Would ((5√2)/2) be correct?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
The shape is half a square; isosceles triangle, two angles of 45 degrees each.

x%5E2%2Bx%5E2=5%5E2
2x%5E2=5%5E2
x%5E2=5%5E2%2F2
x=5%2Fsqrt%282%29---------------and if you want, you can rationalize the denominator.


%285%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29--------simplify this.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Find the value of x in the image. Express your answer in simplest radical form.
Here is a link to the image: https://imgur.com/a/IXBcnIl
Would ((5√2)/2) be correct?
Yes, highlight_green%285sqrt%282%29%2F2%29 is CORRECT. Good job!!