Question 4043: The diagonal of a square television screen measures 18 inches. What is the length of the sides?
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Forgive me: I haven't learned how to use your equation boxes and draw pictures yet. Nevertheless, this is an easy one.
Let x = length of the side of the square, where the diagonal of the rectangle is the hypotenuse of the right triangle.
According to the Theorem or Pythagoras,
a^2 + b^2 = c^2
x^2 + x^2 = 18^2
Combine like terms on the left side:
2x^2 = 324
Divide both sides by 2
x^2 = 162
Solve for x by taking the square root of each side of the equation.
x = +/- sqrt 162
Reject the negative answer since a side of a rectangle cannot be negative
Simplify the square root:
x= sqrt(81) sqrt(2)
x= 9 sqrt(2)
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