SOLUTION: the diagonal of a square is 26 inches. find the length of a side and the perimeter.

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):
You can put this solution on YOUR website!
The diagonal of a square is 26 inches. Find the length of a side and the perimeter.

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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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(639) (Show Source):
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:
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Therefore, length of each side, or S = inches, and perimeter = 4S, or 4(18.38) = inches.