Question 215359: the diagonal of a square is 26 inches. find the length of a side and the perimeter. Found 2 solutions by drj, MathTherapy:Answer by drj(1380) (Show Source):
Step 1. We'll use the Pythagorean Theorem which states that the sum of the square of the sides or legs of a right triangle is equal to the square of the hypotenuse or and for this example, c is the diagonal and a=b is the side since it's a square.
Step 2. So with a=b then or c=a*sqrt(2).
Step 3. Since c=26 inches then or inches.
Step 4. Perimeter P means that we add up all the form sides or or P=73.39 inches.
Step 5. The side is 18.38 inches and the perimeter is 93.39 inches.
I hope the above steps were helpful.
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You can put this solution on YOUR website! Since the diagonal of the square is 26 inches, then by letting each side equal S, and using the Pythagorean formula, , we get: ------- ----------
Therefore, length of each side, or S = inches, and perimeter = 4S, or 4(18.38) = inches.
