Question
a rectangle has a width of 28 Centimeters and a length of 45 Centimeters. What is the length and centimeters of its diagonal?
Answers
GPT 3.5
To find the length of the diagonal of the rectangle, we can use the Pythagorean theorem.
Pythagorean theorem states that the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. So, in this case:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 45^2 + 28^2
Diagonal^2 = 2025 + 784
Diagonal^2 = 2809
Diagonal ≈ sqrt(2809)
Diagonal ≈ 53.08 cm
Therefore, the length of the diagonal of the rectangle is approximately 53.08 centimeters.
Pythagorean theorem states that the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. So, in this case:
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 45^2 + 28^2
Diagonal^2 = 2025 + 784
Diagonal^2 = 2809
Diagonal ≈ sqrt(2809)
Diagonal ≈ 53.08 cm
Therefore, the length of the diagonal of the rectangle is approximately 53.08 centimeters.