To find the length of the diagonal of the refrigerator door, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
Let's assume the dimensions of the door are 3m (length), 5m (width), and 7m (height). The diagonal of the door will form a right-angled triangle with the width and height as its sides.
So, the length of the diagonal (d) can be calculated as follows:
d^2 = 3^2 + 5^2 + 7^2
d^2 = 9 + 25 + 49
d^2 = 83
Now, to find the value of d, we take the square root of both sides:
d = √83
Using a calculator, the approximate value of the diagonal length (d) is:
d ≈ 9.11 meters.
So, the length of the diagonal on the refrigerator door is approximately 9.11 meters.