The Perimeter Of A Square Is 56. Can You Express The Length Of A Diagonal Of The Square In Simplest Radical Form?
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The length of the diagonal is 14 underoot 2. Because for a square with perimeter 56, the length of one side is 14. And the diagonal is the side multiplied by underoot 2.
answered 11 months ago
The formula for the hypotenuse of a right triangle which is one diagonal half of a square is (Altitude2 + Base2) = Hypotenuse2. (the diagonal)Since, in a square, all sides are of equal length, the length of one side is 56/4 or 14. The formula becomes (142 + 142) = Diagonal2 or 196 +196 = diagonal2 or 392 = Diagonal2 or Diagonal = Square root of (392) or diagonal = approximately 19.8.
answered 11 months ago
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