SOLUTION: The area of a square is 64 centimeters squared. Find the length of a diagonal. a. 8 cm b. 8, square root of 3 cm c. 32 cm d. 8, square root of 2 cm

Algebra ->  Surface-area -> SOLUTION: The area of a square is 64 centimeters squared. Find the length of a diagonal. a. 8 cm b. 8, square root of 3 cm c. 32 cm d. 8, square root of 2 cm      Log On


   



Question 282056: The area of a square is 64 centimeters squared. Find the length of a diagonal.
a. 8 cm
b. 8, square root of 3 cm
c. 32 cm
d. 8, square root of 2 cm

Answer by Mathematicians(84) About Me  (Show Source):
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Since it is a square, every side is the same.
Which means the side must be 8 because 8 * 8 = 64.
If we draw a diagonal of a square, you will have a triangle, the hypotenuse is:
x%5E2+%2B+y%5E2+=+z%5E2
since the sides of the triangle are the same:
8%5E2+%2B+8%5E2+=+z%5E2+=+highlight%288+%2A+sqrt%282%29%29