The size of a rectangular computer monitor is determined by the length of its diagonal. If a computer monitor has the length of 24 inches and the height of 18, what is the length of its diagonal to the nearest inch?
Using the Pythagorean theorem, we can find the length of the diagonal (d) of the rectangular computer monitor, given its length (l) and height (h):
d^2 = l^2 + h^2
Substituting the given values:
d^2 = 24^2 + 18^2
d^2 = 576 + 324
d^2 = 900
Taking the square root of both sides:
d ≈ √900
d ≈ 30
Therefore, the length of the diagonal is approximately 30 inches.
To find the length of the diagonal of a rectangle, including a computer monitor, you can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
In this case, the height and the length of the diagonal form the two sides of a right triangle. Let's call the length of the diagonal "d," the length of the computer monitor "L," and the height of the computer monitor "H."
According to the Pythagorean theorem:
d^2 = L^2 + H^2
Substituting the given values:
d^2 = 24^2 + 18^2
Calculating:
d^2 = 576 + 324
d^2 = 900
Taking the square root of both sides:
d = √900
d ≈ 30
Therefore, the length of the diagonal is approximately 30 inches.