The length of one side of a square is 13 feet. What is the length, to the nearest foot, of the diagonal of the square?
Answer (3)
f or m u l a f or d ia g o na l o f s q u a re : d ia g o na l = 2 s i d e s i d e = 13 f ee t d ia g o na l = 2 ∗ 13 ≈ 18 f ee t D ia g o na l i s e q u a l t o 18 f ee t .
To find the length of the diagonal of a square with a side length of 13 feet, we use the Pythagorean theorem. In the context of a square, the diagonal forms a right-angled triangle with two sides of the square. The formula to find the length of the diagonal (d) is d = s 2 + s 2 , where s is the side of the square.
For a square with side length 13 feet, the calculation would be d = 1 3 2 + 1 3 2 = 2 × 1 3 2 = 2 × 169 = 338 , which is approximately 18.4 feet. Hence, the length of the diagonal to the nearest foot is 18 feet.
The length of the diagonal of a square with a side of 13 feet is approximately 18 feet when rounded to the nearest foot. This is calculated using the formula for the diagonal, which involves multiplying the side length by the square root of 2. Therefore, the diagonal is found to be 18 feet.
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