SOLUTION: Given a square, construct another square whose area will be 5 times the area of the original square. Make a sketch and describe the construction step by step. Hint: Use Pyth. Th

Question 276663: Given a square, construct another square whose area will be 5 times the area of the original square. Make a sketch and describe the construction step by step. Hint: Use Pyth. Thrm. to obtain the side of the new square.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the sides of the 1st square are , then

I want the second square to have times this area, so

So, each side of the 2nd square is
To construct this, you need some way of drawing a line
that has length =
One way to do it is to draw a line that is the same length
as . Then draw a line perpendicular to it of length
Then draw the hypotenuse of this right triangle. By pythagorean
theorem,

Now construct a square with sides =

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