If A Diagonal Square Measures 14 Inches. What Is The Length Of Each Side?

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Nathan Corrie Profile
Nathan Corrie answered
If you mean that the distance between diagonally opposite corners on the square is 14 inches then it is a question of applying Pythagoras' Theorem. Think of the square as being 2 right angled triangles placed together, each having a hypotenuse of 14 inches.

Using Pythagoras (Square of Hypotenuse equal to sum of squares of 2 other sides), firstly, you square the hypotenuse = 14 x 14 = 196.

Thus, the squares of the 2 other sides add up to 196.

As we started with a square shape, we know that each of the other sides are the same length, so each side squared must be 196 / 2 = 98.

Thus the square of each side of the square(shape) is 98.

So, the length of each side is the square root of 98 which is approx 9.9 inches.
thanked the writer.
Anonymous
Anonymous commented
Is it written out...14 square root of 2?.....
Nathan Corrie
Nathan Corrie commented
As in my earlier response, the answer was not a whole number, it might be easier (and more accurate) to write the answer down as 'The square root of 98'. I suspect it's the method used that's being sought rather than an exact number
Paul Price Profile
Paul Price answered
A square in its very essence has 4 equal sides the distance diagonally , verically or horizontally would be 14 inches

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