alannajasli alannajasli
  • 18-07-2017
  • Mathematics
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Find the value of x. Express your answer in simplest radical form

Find the value of x Express your answer in simplest radical form class=

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irspow
irspow irspow
  • 18-07-2017
Since x=x, this is an isosceles right triangle.  By the Pythagorean Theorem:

h^2=a^2+b^2  (the hypotenuse squared is equal to the sum of the squared sides)

5^2=x^2+x^2

25=2x^2

2x^2=25

x^2=25/2

x=√(25/2)

x=5/√2  now if we rationalize the denominator...

x=(5√2)/(√2√2)

x=(5√2)/2
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