# SOLUTION: in radical form what is the length of a diagonal of a sqaure if the perimeter is 20

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 Question 528501: in radical form what is the length of a diagonal of a sqaure if the perimeter is 20Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!The diagonal of a square defines two congruent right triangles. The diagonal is the hypotenuse. The Pythagorean Theorem teaches us: . . With a square, a=b so we have . . . We are told perimeter = 20, which for a square = 4*a . . Substitute a=5 . . Check this proposed answer to make sure it is correct. . ?? . . . Correct.